12739624086121 has 9 divisors (see below), whose sum is σ = 12833785404741. Its totient is φ = 12646148709792.

The previous prime is 12739624086103. The next prime is 12739624086127. The reversal of 12739624086121 is 12168042693721.

The square root of 12739624086121 is 3569261.

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 2525591602521 + 10214032483600 = 1589211^2 + 3195940^2 .

It is not a de Polignac number, because 12739624086121 - 2¹¹ = 12739624084073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12739624086127) 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, 488975731 + ... + 489001783.

Almost surely, 2^{12739624086121} is an apocalyptic number.

12739624086121 is the 3569261-st square number.

12739624086121 is the 1784631-st centered octagonal number.

It is an amenable number.

12739624086121 is a deficient number, since it is larger than the sum of its proper divisors (94161318620).

12739624086121 is an frugal number, since it uses more digits than its factorization.

12739624086121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52380 (or 26190 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 12739624086121 in words is "twelve trillion, seven hundred thirty-nine billion, six hundred twenty-four million, eighty-six thousand, one hundred twenty-one".