12129063853725 has 384 divisors, whose sum is σ = 28934948044800. Its totient is φ = 4837368729600.

The previous prime is 12129063853717. The next prime is 12129063853771. The reversal of 12129063853725 is 52735836092121.

12129063853725 is a `hidden beast` number, since 1 + 2 + 1 + 29 + 0 + 63 + 8 + 537 + 25 = 666.

It is not a de Polignac number, because 12129063853725 - 2³ = 12129063853717 is a prime.

It is a super-2 number, since 2×12129063853725² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 502997269 + ... + 503021381.

It is an arithmetic number, because the mean of its divisors is an integer number (75351427200).

Almost surely, 2^{12129063853725} is an apocalyptic number.

12129063853725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12129063853725 is an abundant number, since it is smaller than the sum of its proper divisors (16805884191075).

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

12129063853725 is a wasteful number, since it uses less digits than its factorization.

12129063853725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24602 (or 24591 counting only the distinct ones).

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

The spelling of 12129063853725 in words is "twelve trillion, one hundred twenty-nine billion, sixty-three million, eight hundred fifty-three thousand, seven hundred twenty-five".