12032566502401 has 9 divisors (see below), whose sum is σ = 12782062352899. Its totient is φ = 11324712972064.

The previous prime is 12032566502387. The next prime is 12032566502413. The reversal of 12032566502401 is 10420566523021.

The square root of 12032566502401 is 3468799.

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

It can be written as a sum of positive squares in only one way, i.e., 9367915097025 + 2664651405376 = 3060705^2 + 1632376^2 .

It is not a de Polignac number, because 12032566502401 - 2⁷ = 12032566502273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12032566502491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58867560 + ... + 59071606.

Almost surely, 2^{12032566502401} is an apocalyptic number.

12032566502401 is the 3468799-th square number.

12032566502401 is the 1734400-th centered octagonal number.

It is an amenable number.

12032566502401 is a deficient number, since it is larger than the sum of its proper divisors (749495850498).

12032566502401 is an frugal number, since it uses more digits than its factorization.

12032566502401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408128 (or 204064 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 12032566502401 in words is "twelve trillion, thirty-two billion, five hundred sixty-six million, five hundred two thousand, four hundred one".