125630220600 has 144 divisors (see below), whose sum is σ = 422082694800. Its totient is φ = 33487534080.

The previous prime is 125630220589. The next prime is 125630220601. The reversal of 125630220600 is 6022036521.

125630220600 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 30 + 2 + 20 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125630220601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4780296 + ... + 4806504.

It is an arithmetic number, because the mean of its divisors is an integer number (2931129825).

Almost surely, 2^125630220600 is an apocalyptic number.

125630220600 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 125630220600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211041347400).

125630220600 is an abundant number, since it is smaller than the sum of its proper divisors (296452474200).

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

125630220600 is a wasteful number, since it uses less digits than its factorization.

125630220600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28894 (or 28882 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 125630220600 in words is "one hundred twenty-five billion, six hundred thirty million, two hundred twenty thousand, six hundred".