12564365829121 has 16 divisors (see below), whose sum is σ = 13244016376960. Its totient is φ = 11886554252160.

The previous prime is 12564365829107. The next prime is 12564365829131. The reversal of 12564365829121 is 12192856346521.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12564365829121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12564365829131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406980316 + ... + 407011186.

It is an arithmetic number, because the mean of its divisors is an integer number (827751023560).

Almost surely, 2^{12564365829121} is an apocalyptic number.

It is an amenable number.

12564365829121 is a deficient number, since it is larger than the sum of its proper divisors (679650547839).

12564365829121 is a wasteful number, since it uses less digits than its factorization.

12564365829121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59944.

The product of its digits is 6220800, while the sum is 55.

The spelling of 12564365829121 in words is "twelve trillion, five hundred sixty-four billion, three hundred sixty-five million, eight hundred twenty-nine thousand, one hundred twenty-one".