125971296800 has 36 divisors (see below), whose sum is σ = 307527430266. Its totient is φ = 50388518400.

The previous prime is 125971296793. The next prime is 125971296821. The reversal of 125971296800 is 8692179521.

It can be written as a sum of positive squares in 3 ways, for example, as 121993724176 + 3977572624 = 349276^2 + 63068^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 5 ways as a sum of consecutive naturals, for example, 78731261 + ... + 78732860.

Almost surely, 2^125971296800 is an apocalyptic number.

125971296800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125971296800 is an abundant number, since it is smaller than the sum of its proper divisors (181556133466).

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

125971296800 is a wasteful number, since it uses less digits than its factorization.

125971296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157464141 (or 157464128 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 125971296800 in words is "one hundred twenty-five billion, nine hundred seventy-one million, two hundred ninety-six thousand, eight hundred".