12112133121 has 64 divisors (see below), whose sum is σ = 20112019200. Its totient is φ = 7140441600.

The previous prime is 12112133071. The next prime is 12112133153. The reversal of 12112133121 is 12133121121.

It is not a de Polignac number, because 12112133121 - 2⁹ = 12112132609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12112133094 and 12112133103.

It is not an unprimeable number, because it can be changed into a prime (12112133161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4735575 + ... + 4738131.

It is an arithmetic number, because the mean of its divisors is an integer number (314250300).

Almost surely, 2^12112133121 is an apocalyptic number.

12112133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12112133121 is a deficient number, since it is larger than the sum of its proper divisors (7999886079).

12112133121 is a wasteful number, since it uses less digits than its factorization.

12112133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12112133121 its reverse (12133121121), we get a palindrome (24245254242).

The spelling of 12112133121 in words is "twelve billion, one hundred twelve million, one hundred thirty-three thousand, one hundred twenty-one".