The answer to this question is that there is no such integer.
If you notice the product, it's really a factorial of n. If you take the factorial of even the smallest value, 29, the answer comes to a 31 digit number with the last 17 digits being all zero.
If you perform this calculation in Excel using the FACT() function, the value for 21! has five lagging zeros and that for 22! has seven lagging zeros. Even if the answer choices are wrong, their still is no integer that would satisfy this condition.