12136827602025 has 81 divisors (see below), whose sum is σ = 25288296585591. Its totient is φ = 5548096824480.

The previous prime is 12136827601979. The next prime is 12136827602063. The reversal of 12136827602025 is 52020672863121.

The square root of 12136827602025 is 3483795.

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

12136827602025 is a `hidden beast` number, since 1 + 2 + 1 + 36 + 8 + 2 + 7 + 602 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4369257936729 + 7767569665296 = 2090277^2 + 2787036^2 .

It is not a de Polignac number, because 12136827602025 - 2⁷ = 12136827601897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 365781886 + ... + 365815064.

Almost surely, 2^{12136827602025} is an apocalyptic number.

12136827602025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12136827602025 is the 3483795-th square number.

12136827602025 is the 1741898-th centered octagonal number.

It is an amenable number.

12136827602025 is an abundant number, since it is smaller than the sum of its proper divisors (13151468983566).

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

12136827602025 is an frugal number, since it uses more digits than its factorization.

12136827602025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66388 (or 33194 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12136827602025 in words is "twelve trillion, one hundred thirty-six billion, eight hundred twenty-seven million, six hundred two thousand, twenty-five".