12166883807617 has 16 divisors (see below), whose sum is σ = 15170077699200. Its totient is φ = 9480078800640.

The previous prime is 12166883807579. The next prime is 12166883807621. The reversal of 12166883807617 is 71670838866121.

It is not a de Polignac number, because 12166883807617 - 2³⁹ = 11617127993729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12166883807627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3875742 + ... + 6273367.

It is an arithmetic number, because the mean of its divisors is an integer number (948129856200).

Almost surely, 2^{12166883807617} is an apocalyptic number.

It is an amenable number.

12166883807617 is a deficient number, since it is larger than the sum of its proper divisors (3003193891583).

12166883807617 is a wasteful number, since it uses less digits than its factorization.

12166883807617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164696.

The product of its (nonzero) digits is 32514048, while the sum is 64.

The spelling of 12166883807617 in words is "twelve trillion, one hundred sixty-six billion, eight hundred eighty-three million, eight hundred seven thousand, six hundred seventeen".