To solve this problem, we can simply add up all the numbers:

(-12) + (-13) + 36 + (-11) = -25 + 36 + (-11)

Next, we can combine the positive and negative numbers separately:

-25 + 36 = 11

Finally, we add the remaining negative number:

11 + (-11) = 0

Therefore, (-12) + (-13) + 36 + (-11) = 0.