12135956668900 has 27 divisors (see below), whose sum is σ = 26335101567369. Its totient is φ = 4854368732880.

The previous prime is 12135956668883. The next prime is 12135956668961. The reversal of 12135956668900 is 986665953121.

The square root of 12135956668900 is 3483670.

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

12135956668900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4368944400804 + 7767012268096 = 2090202^2 + 2786936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34662517 + ... + 35010883.

Almost surely, 2^{12135956668900} is an apocalyptic number.

12135956668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12135956668900 is the 3483670-th square number.

It is an amenable number.

12135956668900 is an abundant number, since it is smaller than the sum of its proper divisors (14199144898469).

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

12135956668900 is an frugal number, since it uses more digits than its factorization.

12135956668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696748 (or 348374 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 12135956668900 in words is "twelve trillion, one hundred thirty-five billion, nine hundred fifty-six million, six hundred sixty-eight thousand, nine hundred".