972007128001 has 32 divisors (see below), whose sum is σ = 1219480738560. Its totient is φ = 754287012864.

The previous prime is 972007127893. The next prime is 972007128067. The reversal of 972007128001 is 100821700279.

It is not a de Polignac number, because 972007128001 - 2⁷ = 972007127873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972007128101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780381 + ... + 1597813.

It is an arithmetic number, because the mean of its divisors is an integer number (38108773080).

Almost surely, 2^972007128001 is an apocalyptic number.

972007128001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

972007128001 is a deficient number, since it is larger than the sum of its proper divisors (247473610559).

972007128001 is a wasteful number, since it uses less digits than its factorization.

972007128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817705.

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 972007128001 in words is "nine hundred seventy-two billion, seven million, one hundred twenty-eight thousand, one".