To simplify the expression \(12 \times 12 \times 12 \times 12 \times 36 \times 36\), we can start by grouping the terms.
First, calculate \(12^4\):
\[ 12 \times 12 = 144 \] \[ 144 \times 12 = 1728 \] \[ 1728 \times 12 = 20736 \]
So, \(12^4 = 20736\).
Next, calculate \(36^2\):
\[ 36 \times 36 = 1296 \]
Now, we can multiply \(20736\) and \(1296\):
\[ 20736 \times 1296 \]
To do this multiplication, we can break it down:
\[ 20736 \times 1296 = 20736 \times (1200 + 96) = (20736 \times 1200) + (20736 \times 96) \]
Calculating \(20736 \times 1200\):
\[ 20736 \times 1200 = 24883200 \]
Calculating \(20736 \times 96\):
\[ 20736 \times 96 = 1990656 \]
Now add the two results together:
\[ 24883200 + 1990656 = 26873856 \]
Thus, the value of \(12 \times 12 \times 12 \times 12 \times 36 \times 36\) is \(\boxed{26873856}\).