2020 AMC 8 Problem 12

For a positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1.) What value of N satisfies the following equation? 5! \cdot 9! = 12 \cdot N! \textbf{(A) }10 \qquad \textbf{(B) }11 \qquad \textbf{(C) }12 \qquad \textbf{(D) }13 \qquad \textbf{(E) }14

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.