125104601600 has 240 divisors, whose sum is σ = 339340262976. Its totient is φ = 45330432000.

The previous prime is 125104601537. The next prime is 125104601683. The reversal of 125104601600 is 6106401521.

It is a super-2 number, since 2×125104601600² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125104601600.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43787372 + ... + 43790228.

Almost surely, 2^125104601600 is an apocalyptic number.

125104601600 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 125104601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169670131488).

125104601600 is an abundant number, since it is smaller than the sum of its proper divisors (214235661376).

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

125104601600 is a wasteful number, since it uses less digits than its factorization.

125104601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 125104601600 in words is "one hundred twenty-five billion, one hundred four million, six hundred one thousand, six hundred".