125561252100 has 72 divisors (see below), whose sum is σ = 363361305888. Its totient is φ = 33476480000.

The previous prime is 125561252081. The next prime is 125561252123. The reversal of 125561252100 is 1252165521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614100 + ... + 1690100.

It is an arithmetic number, because the mean of its divisors is an integer number (5046684804).

Almost surely, 2^125561252100 is an apocalyptic number.

125561252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125561252100 is an abundant number, since it is smaller than the sum of its proper divisors (237800053788).

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

125561252100 is a wasteful number, since it uses less digits than its factorization.

125561252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81525 (or 81518 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 125561252100 in words is "one hundred twenty-five billion, five hundred sixty-one million, two hundred fifty-two thousand, one hundred".