12972262752 has 240 divisors, whose sum is σ = 40892699232. Its totient is φ = 4023613440.

The previous prime is 12972262739. The next prime is 12972262763. The reversal of 12972262752 is 25726227921.

12972262752 is a `hidden beast` number, since 12 + 9 + 7 + 2 + 2 + 627 + 5 + 2 = 666.

It is a super-2 number, since 2×12972262752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12972262698 and 12972262707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2202852 + ... + 2208732.

Almost surely, 2^12972262752 is an apocalyptic number.

12972262752 is a gapful number since it is divisible by the number (12) 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 12972262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446349616).

12972262752 is an abundant number, since it is smaller than the sum of its proper divisors (27920436480).

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

12972262752 is a wasteful number, since it uses less digits than its factorization.

12972262752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5946 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 12972262752 in words is "twelve billion, nine hundred seventy-two million, two hundred sixty-two thousand, seven hundred fifty-two".