12174422287104 has 2592 divisors, whose sum is σ = 48959457792000. Its totient is φ = 2977473945600.

The previous prime is 12174422287087. The next prime is 12174422287127. The reversal of 12174422287104 is 40178222447121.

12174422287104 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 442 + 22 + 87 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12174422287104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 329038440174 + ... + 329038440210.

Almost surely, 2^{12174422287104} is an apocalyptic number.

12174422287104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12174422287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24479728896000).

12174422287104 is an abundant number, since it is smaller than the sum of its proper divisors (36785035504896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12174422287104 is an equidigital number, since it uses as much as digits as its factorization.

12174422287104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 12174422287104 in words is "twelve trillion, one hundred seventy-four billion, four hundred twenty-two million, two hundred eighty-seven thousand, one hundred four".