12407757517271 has 16 divisors (see below), whose sum is σ = 12886959444480. Its totient is φ = 11937536345280.

The previous prime is 12407757517241. The next prime is 12407757517321. The reversal of 12407757517271 is 17271575770421.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12407757517271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12407757517241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114085100 + ... + 114193806.

It is an arithmetic number, because the mean of its divisors is an integer number (805434965280).

Almost surely, 2^{12407757517271} is an apocalyptic number.

12407757517271 is a deficient number, since it is larger than the sum of its proper divisors (479201927209).

12407757517271 is a wasteful number, since it uses less digits than its factorization.

12407757517271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149974.

The product of its (nonzero) digits is 6722800, while the sum is 56.

The spelling of 12407757517271 in words is "twelve trillion, four hundred seven billion, seven hundred fifty-seven million, five hundred seventeen thousand, two hundred seventy-one".