The millionth number with at least one million prime factors

Problem 615

Consider the natural numbers having at least 5 prime factors, which don't have to be distinct. Sorting these numbers by size gives a list which starts with:
32=2⋅2⋅2⋅2⋅2
48=2⋅2⋅2⋅2⋅3
64=2⋅2⋅2⋅2⋅2⋅2
72=2⋅2⋅2⋅3⋅3
80=2⋅2⋅2⋅2⋅5
96=2⋅2⋅2⋅2⋅2⋅3
...

So, for example, the fifth number with at least 5 prime factors is 80.

Find the millionth number with at least one million prime factors.
Give your answer modulo 123454321.