12975139800 has 288 divisors, whose sum is σ = 49910421600. Its totient is φ = 2959165440.

The previous prime is 12975139783. The next prime is 12975139813. The reversal of 12975139800 is 893157921.

12975139800 is a `hidden beast` number, since 129 + 7 + 513 + 9 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7773366 + ... + 7775034.

It is an arithmetic number, because the mean of its divisors is an integer number (173300075).

Almost surely, 2^12975139800 is an apocalyptic number.

12975139800 is a gapful number since it is divisible by the number (10) 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 12975139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24955210800).

12975139800 is an abundant number, since it is smaller than the sum of its proper divisors (36935281800).

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

12975139800 is a wasteful number, since it uses less digits than its factorization.

12975139800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 12975139800 in words is "twelve billion, nine hundred seventy-five million, one hundred thirty-nine thousand, eight hundred".