10244125215972 has 96 divisors (see below), whose sum is σ = 26782663824000. Its totient is φ = 3386009598336.

The previous prime is 10244125215967. The next prime is 10244125216001. The reversal of 10244125215972 is 27951252144201.

10244125215972 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 4 + 1 + 2 + 52 + 1 + 597 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8903758 + ... + 9988250.

It is an arithmetic number, because the mean of its divisors is an integer number (278986081500).

Almost surely, 2^{10244125215972} is an apocalyptic number.

10244125215972 is a gapful number since it is divisible by the number (12) 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 10244125215972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391331912000).

10244125215972 is an abundant number, since it is smaller than the sum of its proper divisors (16538538608028).

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

10244125215972 is a wasteful number, since it uses less digits than its factorization.

10244125215972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085242 (or 1085234 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10244125215972 in words is "ten trillion, two hundred forty-four billion, one hundred twenty-five million, two hundred fifteen thousand, nine hundred seventy-two".