125077251120 has 80 divisors (see below), whose sum is σ = 410547696480. Its totient is φ = 31391936512.

The previous prime is 125077251107. The next prime is 125077251151. The reversal of 125077251120 is 21152770521.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15324015 + ... + 15332174.

It is an arithmetic number, because the mean of its divisors is an integer number (5131846206).

Almost surely, 2^125077251120 is an apocalyptic number.

125077251120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125077251120 is an abundant number, since it is smaller than the sum of its proper divisors (285470445360).

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

125077251120 is a wasteful number, since it uses less digits than its factorization.

125077251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30656222 (or 30656216 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

It can be divided in two parts, 12507 and 7251120, that added together give a palindrome (7263627).

The spelling of 125077251120 in words is "one hundred twenty-five billion, seventy-seven million, two hundred fifty-one thousand, one hundred twenty".