10972144443312 has 120 divisors (see below), whose sum is σ = 33190850941248. Its totient is φ = 3363586560000.

The previous prime is 10972144443287. The next prime is 10972144443313. The reversal of 10972144443312 is 21334444127901.

10972144443312 is a `hidden beast` number, since 1 + 0 + 9 + 72 + 144 + 4 + 433 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (10972144443313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10306689 + ... + 11321312.

Almost surely, 2^{10972144443312} is an apocalyptic number.

10972144443312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10972144443312 is an abundant number, since it is smaller than the sum of its proper divisors (22218706497936).

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

10972144443312 is a wasteful number, since it uses less digits than its factorization.

10972144443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21628299 (or 21628290 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10972144443312 in words is "ten trillion, nine hundred seventy-two billion, one hundred forty-four million, four hundred forty-three thousand, three hundred twelve".