12125516832 has 768 divisors, whose sum is σ = 46088663040. Its totient is φ = 3041280000.

The previous prime is 12125516813. The next prime is 12125516869. The reversal of 12125516832 is 23861552121.

12125516832 is a `hidden beast` number, since 1 + 2 + 12 + 551 + 68 + 32 = 666.

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

Its product of digits (28800) is a multiple of the sum of its prime divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48308707 + ... + 48308957.

It is an arithmetic number, because the mean of its divisors is an integer number (60011280).

Almost surely, 2^12125516832 is an apocalyptic number.

12125516832 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 12125516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23044331520).

12125516832 is an abundant number, since it is smaller than the sum of its proper divisors (33963146208).

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

12125516832 is a wasteful number, since it uses less digits than its factorization.

12125516832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 12125516832 in words is "twelve billion, one hundred twenty-five million, five hundred sixteen thousand, eight hundred thirty-two".