AMC 8 2020 Problem 12

For a positive integer $n$, the factorial notation $n!$ represents the product of the integers from $n$ to $1$. What value of $N$ satisfies the following equation? $$5!\cdot 9!=12\cdot N!$$ $\textbf{(A) }10 \textbf{(B) }11 \textbf{(C) }12 \textbf{(D) }13 \textbf{(E) }14$