12160668456225 has 81 divisors (see below), whose sum is σ = 21874163024883. Its totient is φ = 6458098998240.

The previous prime is 12160668456191. The next prime is 12160668456239. The reversal of 12160668456225 is 52265486606121.

The square root of 12160668456225 is 3487215.

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

12160668456225 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 0 + 6 + 6 + 8 + 4 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4377840644241 + 7782827811984 = 2092329^2 + 2789772^2 .

It is not a de Polignac number, because 12160668456225 - 2¹⁷ = 12160668325153 is a prime.

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, 20034049872 + ... + 20034050478.

Almost surely, 2^{12160668456225} is an apocalyptic number.

12160668456225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12160668456225 is the 3487215-th square number.

12160668456225 is the 1743608-th centered octagonal number.

It is an amenable number.

12160668456225 is a deficient number, since it is larger than the sum of its proper divisors (9713494568658).

12160668456225 is an frugal number, since it uses more digits than its factorization.

12160668456225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 12160668456225 in words is "twelve trillion, one hundred sixty billion, six hundred sixty-eight million, four hundred fifty-six thousand, two hundred twenty-five".