12107038553289 has 135 divisors (see below), whose sum is σ = 19108804017303. Its totient is φ = 7670581308432.

The previous prime is 12107038553251. The next prime is 12107038553297. The reversal of 12107038553289 is 98235583070121.

The square root of 12107038553289 is 3479517.

It is a perfect power (a square), and thus also a powerful number.

12107038553289 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 0 + 3 + 8 + 553 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10833544359225 + 1273494194064 = 3291435^2 + 1128492^2 .

It is not a de Polignac number, because 12107038553289 - 2²⁹ = 12106501682377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12107038553249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 281559036102 + ... + 281559036144.

Almost surely, 2^{12107038553289} is an apocalyptic number.

12107038553289 is the 3479517-th square number.

12107038553289 is the 1739759-th centered octagonal number.

It is an amenable number.

12107038553289 is a deficient number, since it is larger than the sum of its proper divisors (7001765464014).

12107038553289 is an frugal number, since it uses more digits than its factorization.

12107038553289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12107038553289 in words is "twelve trillion, one hundred seven billion, thirty-eight million, five hundred fifty-three thousand, two hundred eighty-nine".