12972511530 has 128 divisors (see below), whose sum is σ = 38270361600. Its totient is φ = 3100507200.

The previous prime is 12972511529. The next prime is 12972511537. The reversal of 12972511530 is 3511527921.

12972511530 is a `hidden beast` number, since 1 + 2 + 9 + 72 + 51 + 1 + 530 = 666.

It is not an unprimeable number, because it can be changed into a prime (12972511537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180111 + ... + 241629.

It is an arithmetic number, because the mean of its divisors is an integer number (298987200).

Almost surely, 2^12972511530 is an apocalyptic number.

12972511530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12972511530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19135180800).

12972511530 is an abundant number, since it is smaller than the sum of its proper divisors (25297850070).

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

12972511530 is a wasteful number, since it uses less digits than its factorization.

12972511530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61617 (or 61611 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 12972511530 in words is "twelve billion, nine hundred seventy-two million, five hundred eleven thousand, five hundred thirty".