12125694312576 has 768 divisors, whose sum is σ = 40310433945600. Its totient is φ = 3467533639680.

The previous prime is 12125694312541. The next prime is 12125694312607. The reversal of 12125694312576 is 67521349652121.

12125694312576 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 5 + 69 + 4 + 3 + 1 + 2 + 576 = 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 95 ways as a sum of consecutive naturals, for example, 5166464235 + ... + 5166466581.

It is an arithmetic number, because the mean of its divisors is an integer number (52487544200).

Almost surely, 2^{12125694312576} is an apocalyptic number.

12125694312576 is a gapful number since it is divisible by the number (16) 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 12125694312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155216972800).

12125694312576 is an abundant number, since it is smaller than the sum of its proper divisors (28184739633024).

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

12125694312576 is a wasteful number, since it uses less digits than its factorization.

12125694312576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2722 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 12125694312576 in words is "twelve trillion, one hundred twenty-five billion, six hundred ninety-four million, three hundred twelve thousand, five hundred seventy-six".