Find the positive integer

What is the smallest positive integer of N if N satisfies this equation, N is a square, a cube, an odd number and divisible by twelve prime number?
Source: Quora

I think N=(3*5*7*11*13*17*19*23*29*31*37*41)^6

This is:
12393 837 692914617514545 128 103 985 807 911 961 532 559 239 905 437 240. 736215373 258 683 182067515625
Is that the lowest? Are you sure @shahriaraminarif1234 ?

I think so. @adnansgphs