125920604242944 has 3168 divisors, whose sum is σ = 493695589959936. Its totient is φ = 31784246968320.

The previous prime is 125920604242903. The next prime is 125920604242973. The reversal of 125920604242944 is 449242406029521.

125920604242944 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 2 + 0 + 604 + 2 + 4 + 29 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 290809709352 + ... + 290809709784.

Almost surely, 2^{125920604242944} is an apocalyptic number.

125920604242944 is a gapful number since it is divisible by the number (14) 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 125920604242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246847794979968).

125920604242944 is an abundant number, since it is smaller than the sum of its proper divisors (367774985716992).

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

125920604242944 is a wasteful number, since it uses less digits than its factorization.

125920604242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 125920604242944 in words is "one hundred twenty-five trillion, nine hundred twenty billion, six hundred four million, two hundred forty-two thousand, nine hundred forty-four".