125656979200 has 108 divisors (see below), whose sum is σ = 316889827128. Its totient is φ = 49314304000.

The previous prime is 125656979197. The next prime is 125656979251. The reversal of 125656979200 is 2979656521.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 153975 + ... + 524425.

It is an arithmetic number, because the mean of its divisors is an integer number (2934165066).

Almost surely, 2^125656979200 is an apocalyptic number.

125656979200 is a gapful number since it is divisible by the number (10) 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 125656979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158444913564).

125656979200 is an abundant number, since it is smaller than the sum of its proper divisors (191232847928).

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

125656979200 is an equidigital number, since it uses as much as digits as its factorization.

125656979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370530 (or 370511 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 52.

The spelling of 125656979200 in words is "one hundred twenty-five billion, six hundred fifty-six million, nine hundred seventy-nine thousand, two hundred".