972212880960 has 140 divisors (see below), whose sum is σ = 3458332347228. Its totient is φ = 259256761344.

The previous prime is 972212880901. The next prime is 972212880967. The reversal of 972212880960 is 69088212279.

It can be written as a sum of positive squares in 2 ways, for example, as 281731654656 + 690481226304 = 530784^2 + 830952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 972212880897 and 972212880906.

It is not an unprimeable number, because it can be changed into a prime (972212880967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18728187 + ... + 18780026.

Almost surely, 2^972212880960 is an apocalyptic number.

972212880960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

972212880960 is an abundant number, since it is smaller than the sum of its proper divisors (2486119466268).

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

972212880960 is a wasteful number, since it uses less digits than its factorization.

972212880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37508242 (or 37508223 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 972212880960 in words is "nine hundred seventy-two billion, two hundred twelve million, eight hundred eighty thousand, nine hundred sixty".