124种：
1+2+3+4+5+6+7-8-9-10+11-12 = 0
1+2+3+4+5+6-7+8-9+10-11-12 = 0
1+2+3+4+5-6+7+8+9-10-11-12 = 0
1+2+3+4-5+6-7-8-9-10+11+12 = 0
1+2+3+4-5-6+7-8-9+10-11+12 = 0
1+2+3+4-5-6-7+8+9-10-11+12 = 0
1+2+3+4-5-6-7+8-9+10+11-12 = 0
1+2+3-4+5+6-7-8-9+10-11+12 = 0
1+2+3-4+5-6+7-8+9-10-11+12 = 0
1+2+3-4+5-6+7-8-9+10+11-12 = 0
1+2+3-4+5-6-7+8+9-10+11-12 = 0
1+2+3-4-5+6+7+8-9-10-11+12 = 0
1+2+3-4-5+6+7-8+9-10+11-12 = 0
1+2+3-4-5+6-7+8+9+10-11-12 = 0
1+2+3-4-5-6-7-8-9+10+11+12 = 0
1+2-3+4+5+6-7-8+9-10-11+12 = 0
1+2-3+4+5+6-7-8-9+10+11-12 = 0
1+2-3+4+5-6+7+8-9-10-11+12 = 0
1+2-3+4+5-6+7-8+9-10+11-12 = 0
1+2-3+4+5-6-7+8+9+10-11-12 = 0
1+2-3+4-5+6+7+8-9-10+11-12 = 0
1+2-3+4-5+6+7-8+9+10-11-12 = 0
1+2-3+4-5-6-7-8+9-10+11+12 = 0
1+2-3-4+5+6+7+8-9+10-11-12 = 0
1+2-3-4+5-6-7+8-9-10+11+12 = 0
1+2-3-4+5-6-7-8+9+10-11+12 = 0
1+2-3-4-5+6+7-8-9-10+11+12 = 0
1+2-3-4-5+6-7+8-9+10-11+12 = 0
1+2-3-4-5+6-7-8+9+10+11-12 = 0
1+2-3-4-5-6+7+8+9-10-11+12 = 0
1+2-3-4-5-6+7+8-9+10+11-12 = 0
1-2+3+4+5+6-7+8-9-10-11+12 = 0
1-2+3+4+5+6-7-8+9-10+11-12 = 0
1-2+3+4+5-6+7+8-9-10+11-12 = 0
1-2+3+4+5-6+7-8+9+10-11-12 = 0
1-2+3+4-5+6+7+8-9+10-11-12 = 0
1-2+3+4-5-6-7+8-9-10+11+12 = 0
1-2+3+4-5-6-7-8+9+10-11+12 = 0
1-2+3-4+5+6+7+8+9-10-11-12 = 0
1-2+3-4+5-6+7-8-9-10+11+12 = 0
1-2+3-4+5-6-7+8-9+10-11+12 = 0
1-2+3-4+5-6-7-8+9+10+11-12 = 0
1-2+3-4-5+6+7-8-9+10-11+12 = 0
1-2+3-4-5+6-7+8+9-10-11+12 = 0
1-2+3-4-5+6-7+8-9+10+11-12 = 0
1-2+3-4-5-6+7+8+9-10+11-12 = 0
1-2-3+4+5+6-7-8-9-10+11+12 = 0
1-2-3+4+5-6+7-8-9+10-11+12 = 0
1-2-3+4+5-6-7+8+9-10-11+12 = 0
1-2-3+4+5-6-7+8-9+10+11-12 = 0
1-2-3+4-5+6+7-8+9-10-11+12 = 0
1-2-3+4-5+6+7-8-9+10+11-12 = 0
1-2-3+4-5+6-7+8+9-10+11-12 = 0
1-2-3+4-5-6+7+8+9+10-11-12 = 0
1-2-3-4+5+6+7+8-9-10-11+12 = 0
1-2-3-4+5+6+7-8+9-10+11-12 = 0
1-2-3-4+5+6-7+8+9+10-11-12 = 0
1-2-3-4+5-6-7-8-9+10+11+12 = 0
1-2-3-4-5+6-7-8+9-10+11+12 = 0
1-2-3-4-5-6+7+8-9-10+11+12 = 0
1-2-3-4-5-6+7-8+9+10-11+12 = 0
1-2-3-4-5-6-7+8+9+10+11-12 = 0
-1+2+3+4+5+6+7-8-9-10-11+12 = 0
-1+2+3+4+5+6-7+8-9-10+11-12 = 0
-1+2+3+4+5+6-7-8+9+10-11-12 = 0
-1+2+3+4+5-6+7+8-9+10-11-12 = 0
-1+2+3+4-5+6+7+8+9-10-11-12 = 0
-1+2+3+4-5-6+7-8-9-10+11+12 = 0
-1+2+3+4-5-6-7+8-9+10-11+12 = 0
-1+2+3+4-5-6-7-8+9+10+11-12 = 0
-1+2+3-4+5+6-7-8-9-10+11+12 = 0
-1+2+3-4+5-6+7-8-9+10-11+12 = 0
-1+2+3-4+5-6-7+8+9-10-11+12 = 0
-1+2+3-4+5-6-7+8-9+10+11-12 = 0
-1+2+3-4-5+6+7-8+9-10-11+12 = 0
-1+2+3-4-5+6+7-8-9+10+11-12 = 0
-1+2+3-4-5+6-7+8+9-10+11-12 = 0
-1+2+3-4-5-6+7+8+9+10-11-12 = 0
-1+2-3+4+5+6-7-8-9+10-11+12 = 0
-1+2-3+4+5-6+7-8+9-10-11+12 = 0
-1+2-3+4+5-6+7-8-9+10+11-12 = 0
-1+2-3+4+5-6-7+8+9-10+11-12 = 0
-1+2-3+4-5+6+7+8-9-10-11+12 = 0
-1+2-3+4-5+6+7-8+9-10+11-12 = 0
-1+2-3+4-5+6-7+8+9+10-11-12 = 0
-1+2-3+4-5-6-7-8-9+10+11+12 = 0
-1+2-3-4+5+6+7+8-9-10+11-12 = 0
-1+2-3-4+5+6+7-8+9+10-11-12 = 0
-1+2-3-4+5-6-7-8+9-10+11+12 = 0
-1+2-3-4-5+6-7+8-9-10+11+12 = 0
-1+2-3-4-5+6-7-8+9+10-11+12 = 0
-1+2-3-4-5-6+7+8-9+10-11+12 = 0
-1+2-3-4-5-6+7-8+9+10+11-12 = 0
-1-2+3+4+5+6-7-8+9-10-11+12 = 0
-1-2+3+4+5+6-7-8-9+10+11-12 = 0
-1-2+3+4+5-6+7+8-9-10-11+12 = 0
-1-2+3+4+5-6+7-8+9-10+11-12 = 0
-1-2+3+4+5-6-7+8+9+10-11-12 = 0
-1-2+3+4-5+6+7+8-9-10+11-12 = 0
-1-2+3+4-5+6+7-8+9+10-11-12 = 0
-1-2+3+4-5-6-7-8+9-10+11+12 = 0
-1-2+3-4+5+6+7+8-9+10-11-12 = 0
-1-2+3-4+5-6-7+8-9-10+11+12 = 0
-1-2+3-4+5-6-7-8+9+10-11+12 = 0
-1-2+3-4-5+6+7-8-9-10+11+12 = 0
-1-2+3-4-5+6-7+8-9+10-11+12 = 0
-1-2+3-4-5+6-7-8+9+10+11-12 = 0
-1-2+3-4-5-6+7+8+9-10-11+12 = 0
-1-2+3-4-5-6+7+8-9+10+11-12 = 0
-1-2-3+4+5+6+7+8+9-10-11-12 = 0
-1-2-3+4+5-6+7-8-9-10+11+12 = 0
-1-2-3+4+5-6-7+8-9+10-11+12 = 0
-1-2-3+4+5-6-7-8+9+10+11-12 = 0
-1-2-3+4-5+6+7-8-9+10-11+12 = 0
-1-2-3+4-5+6-7+8+9-10-11+12 = 0
-1-2-3+4-5+6-7+8-9+10+11-12 = 0
-1-2-3+4-5-6+7+8+9-10+11-12 = 0
-1-2-3-4+5+6+7-8+9-10-11+12 = 0
-1-2-3-4+5+6+7-8-9+10+11-12 = 0
-1-2-3-4+5+6-7+8+9-10+11-12 = 0
-1-2-3-4+5-6+7+8+9+10-11-12 = 0
-1-2-3-4-5+6-7-8-9+10+11+12 = 0
-1-2-3-4-5-6+7-8+9-10+11+12 = 0
-1-2-3-4-5-6-7+8+9+10-11+12 = 0