125103218360832 has 720 divisors, whose sum is σ = 395319264912000. Its totient is φ = 37979052539904.

The previous prime is 125103218360671. The next prime is 125103218360909. The reversal of 125103218360832 is 238063812301521.

125103218360832 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 0 + 3 + 2 + 1 + 8 + 3 + 608 + 32 = 666.

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 71 ways as a sum of consecutive naturals, for example, 17597860894 + ... + 17597868002.

It is an arithmetic number, because the mean of its divisors is an integer number (549054534600).

Almost surely, 2^{125103218360832} is an apocalyptic number.

125103218360832 is a gapful number since it is divisible by the number (12) 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 125103218360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197659632456000).

125103218360832 is an abundant number, since it is smaller than the sum of its proper divisors (270216046551168).

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

125103218360832 is a wasteful number, since it uses less digits than its factorization.

125103218360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7449 (or 7401 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 125103218360832 in words is "one hundred twenty-five trillion, one hundred three billion, two hundred eighteen million, three hundred sixty thousand, eight hundred thirty-two".