12902830386601 has 27 divisors (see below), whose sum is σ = 13406825153253. Its totient is φ = 12417576624960.

The previous prime is 12902830386583. The next prime is 12902830386623. The reversal of 12902830386601 is 10668303820921.

The square root of 12902830386601 is 3592051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11395681311001 + 1507149075600 = 3375749^2 + 1227660^2 .

It is not a de Polignac number, because 12902830386601 - 2⁷ = 12902830386473 is a prime.

It is a super-2 number, since 2×12902830386601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12902830336601) 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, 11634652635 + ... + 11634653743.

Almost surely, 2^{12902830386601} is an apocalyptic number.

12902830386601 is the 3592051-st square number.

12902830386601 is the 1796026-th centered octagonal number.

It is an amenable number.

12902830386601 is a deficient number, since it is larger than the sum of its proper divisors (503994766652).

12902830386601 is an frugal number, since it uses more digits than its factorization.

12902830386601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 12902830386601 by its sum of digits (49), we get a square (632238688943449 = 25144357²).

The spelling of 12902830386601 in words is "twelve trillion, nine hundred two billion, eight hundred thirty million, three hundred eighty-six thousand, six hundred one".