$12! = 47a001600$, for some digit $a$. What is the value of $a$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
$12! = 47a001600$, for some digit $a$. What is the value of $a$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
a=9
$12! = 47a001600$, for some digit $a$. What is the value of $a$?
train