125388127872 has 256 divisors, whose sum is σ = 425642899200. Its totient is φ = 35595915264.

The previous prime is 125388127853. The next prime is 125388127901. The reversal of 125388127872 is 278721883521.

It is a happy number.

125388127872 is a `hidden beast` number, since 1 + 2 + 538 + 8 + 1 + 27 + 87 + 2 = 666.

It is a super-2 number, since 2×125388127872² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3781638 + ... + 3814650.

It is an arithmetic number, because the mean of its divisors is an integer number (1662667575).

Almost surely, 2^125388127872 is an apocalyptic number.

125388127872 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 125388127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212821449600).

125388127872 is an abundant number, since it is smaller than the sum of its proper divisors (300254771328).

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

125388127872 is a wasteful number, since it uses less digits than its factorization.

125388127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33200 (or 33182 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 125388127872 in words is "one hundred twenty-five billion, three hundred eighty-eight million, one hundred twenty-seven thousand, eight hundred seventy-two".