12606107617751 has 16 divisors (see below), whose sum is σ = 12656028027168. Its totient is φ = 12556293120000.

The previous prime is 12606107617703. The next prime is 12606107617801. The reversal of 12606107617751 is 15771670160621.

It is a cyclic number.

It is not a de Polignac number, because 12606107617751 - 2⁶ = 12606107617687 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12606107617751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606107617151) 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, 875356151 + ... + 875370551.

It is an arithmetic number, because the mean of its divisors is an integer number (791001751698).

Almost surely, 2^{12606107617751} is an apocalyptic number.

12606107617751 is a deficient number, since it is larger than the sum of its proper divisors (49920409417).

12606107617751 is a wasteful number, since it uses less digits than its factorization.

12606107617751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842.

The product of its (nonzero) digits is 740880, while the sum is 50.

The spelling of 12606107617751 in words is "twelve trillion, six hundred six billion, one hundred seven million, six hundred seventeen thousand, seven hundred fifty-one".