12662915133001 has 27 divisors (see below), whose sum is σ = 14872413461997. Its totient is φ = 10750225479000.

The previous prime is 12662915132947. The next prime is 12662915133149. The reversal of 12662915133001 is 10033151926621.

It is a happy number.

The square root of 12662915133001 is 3558499.

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

It is not a de Polignac number, because 12662915133001 - 2¹⁵ = 12662915100233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12662915103001) 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, 2665313376 + ... + 2665318126.

Almost surely, 2^{12662915133001} is an apocalyptic number.

12662915133001 is the 3558499-th square number.

12662915133001 is the 1779250-th centered octagonal number.

It is an amenable number.

12662915133001 is a deficient number, since it is larger than the sum of its proper divisors (2209498328996).

12662915133001 is an frugal number, since it uses more digits than its factorization.

12662915133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 12662915133001 in words is "twelve trillion, six hundred sixty-two billion, nine hundred fifteen million, one hundred thirty-three thousand, one".