12243889762129 has 27 divisors (see below), whose sum is σ = 13369915676817. Its totient is φ = 11210195159424.

The previous prime is 12243889762073. The next prime is 12243889762177. The reversal of 12243889762129 is 92126798834221.

The square root of 12243889762129 is 3499127.

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 5695511121729 + 6548378640400 = 2386527^2 + 2558980^2 .

It is not a de Polignac number, because 12243889762129 - 2⁹ = 12243889761617 is a prime.

It is a super-2 number, since 2×12243889762129² (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 (12243889762189) 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, 2200948102 + ... + 2200953664.

Almost surely, 2^{12243889762129} is an apocalyptic number.

12243889762129 is the 3499127-th square number.

12243889762129 is the 1749564-th centered octagonal number.

It is an amenable number.

12243889762129 is a deficient number, since it is larger than the sum of its proper divisors (1126025914688).

12243889762129 is an frugal number, since it uses more digits than its factorization.

12243889762129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234 (or 5617 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 64.

Multiplying 12243889762129 by its sum of digits (64), we get a square (783608944776256 = 27993016²).

The spelling of 12243889762129 in words is "twelve trillion, two hundred forty-three billion, eight hundred eighty-nine million, seven hundred sixty-two thousand, one hundred twenty-nine".