125262729800 has 96 divisors (see below), whose sum is σ = 318056518080. Its totient is φ = 45599366400.

The previous prime is 125262729799. The next prime is 125262729847. The reversal of 125262729800 is 8927262521.

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 23 ways as a sum of consecutive naturals, for example, 154682 + ... + 523881.

It is an arithmetic number, because the mean of its divisors is an integer number (3313088730).

Almost surely, 2^125262729800 is an apocalyptic number.

125262729800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125262729800 is an abundant number, since it is smaller than the sum of its proper divisors (192793788280).

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

125262729800 is a wasteful number, since it uses less digits than its factorization.

125262729800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678663 (or 678654 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 125262729800 in words is "one hundred twenty-five billion, two hundred sixty-two million, seven hundred twenty-nine thousand, eight hundred".