972007128000 has 560 divisors, whose sum is σ = 3603242358144. Its totient is φ = 258673305600.

The previous prime is 972007127893. The next prime is 972007128067. The reversal of 972007128000 is 821700279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 397222777 + ... + 397225223.

Almost surely, 2^972007128000 is an apocalyptic number.

972007128000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972007128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801621179072).

972007128000 is an abundant number, since it is smaller than the sum of its proper divisors (2631235230144).

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

972007128000 is a wasteful number, since it uses less digits than its factorization.

972007128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 972007128000 its reverse (821700279), we get a palindrome (972828828279).

The spelling of 972007128000 in words is "nine hundred seventy-two billion, seven million, one hundred twenty-eight thousand".