972940211712 has 600 divisors, whose sum is σ = 3398139520776. Its totient is φ = 277897568256.

The previous prime is 972940211687. The next prime is 972940211713. The reversal of 972940211712 is 217112049279.

It is a happy number.

972940211712 is a `hidden beast` number, since 9 + 72 + 9 + 402 + 1 + 171 + 2 = 666.

It is a super-2 number, since 2×972940211712² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972940211713) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 298721188 + ... + 298724444.

Almost surely, 2^972940211712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972940211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699069760388).

972940211712 is an abundant number, since it is smaller than the sum of its proper divisors (2425199309064).

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

972940211712 is an frugal number, since it uses more digits than its factorization.

972940211712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 972940211712 in words is "nine hundred seventy-two billion, nine hundred forty million, two hundred eleven thousand, seven hundred twelve".