12164272073601 has 16 divisors (see below), whose sum is σ = 17072842962240. Its totient is φ = 7682616970560.

The previous prime is 12164272073593. The next prime is 12164272073627. The reversal of 12164272073601 is 10637027246121.

It is not a de Polignac number, because 12164272073601 - 2³ = 12164272073593 is a prime.

It is a super-2 number, since 2×12164272073601² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12164272075601) 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, 4563891 + ... + 6719943.

It is an arithmetic number, because the mean of its divisors is an integer number (1067052685140).

Almost surely, 2^{12164272073601} is an apocalyptic number.

It is an amenable number.

12164272073601 is a deficient number, since it is larger than the sum of its proper divisors (4908570888639).

12164272073601 is a wasteful number, since it uses less digits than its factorization.

12164272073601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255056.

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 12164272073601 in words is "twelve trillion, one hundred sixty-four billion, two hundred seventy-two million, seventy-three thousand, six hundred one".