9972123731280 has 120 divisors (see below), whose sum is σ = 33913636174080. Its totient is φ = 2625571802880.

The previous prime is 9972123731263. The next prime is 9972123731333. The reversal of 9972123731280 is 821373212799.

It is a happy number.

9972123731280 is a `hidden beast` number, since 9 + 9 + 7 + 212 + 37 + 312 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 87602436 + ... + 87716195.

It is an arithmetic number, because the mean of its divisors is an integer number (282613634784).

Almost surely, 2^{9972123731280} is an apocalyptic number.

9972123731280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9972123731280 is an abundant number, since it is smaller than the sum of its proper divisors (23941512442800).

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

9972123731280 is a wasteful number, since it uses less digits than its factorization.

9972123731280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175318729 (or 175318720 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 9972123731280 in words is "nine trillion, nine hundred seventy-two billion, one hundred twenty-three million, seven hundred thirty-one thousand, two hundred eighty".