12456318481201 has 27 divisors (see below), whose sum is σ = 14531881487193. Its totient is φ = 10646075530440.

The previous prime is 12456318481171. The next prime is 12456318481273. The reversal of 12456318481201 is 10218481365421.

The square root of 12456318481201 is 3529351.

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

It is not a de Polignac number, because 12456318481201 - 2¹⁷ = 12456318350129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12456318481501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14106815506 + ... + 14106816388.

It is an arithmetic number, because the mean of its divisors is an integer number (538217832859).

Almost surely, 2^{12456318481201} is an apocalyptic number.

12456318481201 is the 3529351-st square number.

12456318481201 is the 1764676-th centered octagonal number.

It is an amenable number.

12456318481201 is a deficient number, since it is larger than the sum of its proper divisors (2075563005992).

12456318481201 is an frugal number, since it uses more digits than its factorization.

12456318481201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 12456318481201 in words is "twelve trillion, four hundred fifty-six billion, three hundred eighteen million, four hundred eighty-one thousand, two hundred one".