12164846121 has 48 divisors (see below), whose sum is σ = 19282798080. Its totient is φ = 7361280000.

The previous prime is 12164846093. The next prime is 12164846149.

12164846121 is a `hidden beast` number, since 1 + 2 + 1 + 648 + 4 + 6 + 1 + 2 + 1 = 666.

12164846121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12164846093) and next prime (12164846149).

It is not a de Polignac number, because 12164846121 - 2⁷ = 12164845993 is a prime.

It is a super-2 number, since 2×12164846121² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12164846191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524041 + ... + 546761.

It is an arithmetic number, because the mean of its divisors is an integer number (401724960).

Almost surely, 2^12164846121 is an apocalyptic number.

It is an amenable number.

12164846121 is a deficient number, since it is larger than the sum of its proper divisors (7117951959).

12164846121 is a wasteful number, since it uses less digits than its factorization.

12164846121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22878 (or 22875 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 12164846121 in words is "twelve billion, one hundred sixty-four million, eight hundred forty-six thousand, one hundred twenty-one".