120025290168576 has 216 divisors, whose sum is σ = 372715125826680. Its totient is φ = 36927644663808.

The previous prime is 120025290168521. The next prime is 120025290168583. The reversal of 120025290168576 is 675861092520021.

120025290168576 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 5 + 2 + 9 + 0 + 1 + 68 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22572381081600 + 97452909086976 = 4751040^2 + 9871824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356170530 + ... + 356507358.

Almost surely, 2^{120025290168576} is an apocalyptic number.

120025290168576 is a gapful number since it is divisible by the number (16) 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 120025290168576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186357562913340).

120025290168576 is an abundant number, since it is smaller than the sum of its proper divisors (252689835658104).

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

120025290168576 is a wasteful number, since it uses less digits than its factorization.

120025290168576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348761 (or 348744 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 120025290168576 in words is "one hundred twenty trillion, twenty-five billion, two hundred ninety million, one hundred sixty-eight thousand, five hundred seventy-six".