12372712128 has 168 divisors, whose sum is σ = 40649944608. Its totient is φ = 3524640768.

The previous prime is 12372712097. The next prime is 12372712139. The reversal of 12372712128 is 82121727321.

It is a happy number.

12372712128 is a `hidden beast` number, since 1 + 2 + 372 + 71 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12372712092 and 12372712101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418950 + ... + 1427642.

It is an arithmetic number, because the mean of its divisors is an integer number (241963956).

Almost surely, 2^12372712128 is an apocalyptic number.

12372712128 is a gapful number since it is divisible by the number (18) 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 12372712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324972304).

12372712128 is an abundant number, since it is smaller than the sum of its proper divisors (28277232480).

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

12372712128 is a wasteful number, since it uses less digits than its factorization.

12372712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9058 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The spelling of 12372712128 in words is "twelve billion, three hundred seventy-two million, seven hundred twelve thousand, one hundred twenty-eight".