12137597530128 has 400 divisors, whose sum is σ = 40387230416896. Its totient is φ = 3447302664960.

The previous prime is 12137597530063. The next prime is 12137597530193. The reversal of 12137597530128 is 82103579573121.

12137597530128 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 5 + 97 + 530 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12137597530063) and next prime (12137597530193).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1138285725 + ... + 1138296387.

Almost surely, 2^{12137597530128} is an apocalyptic number.

12137597530128 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 12137597530128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20193615208448).

12137597530128 is an abundant number, since it is smaller than the sum of its proper divisors (28249632886768).

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

12137597530128 is a wasteful number, since it uses less digits than its factorization.

12137597530128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 12137597530128 in words is "twelve trillion, one hundred thirty-seven billion, five hundred ninety-seven million, five hundred thirty thousand, one hundred twenty-eight".