12122111331 has 96 divisors (see below), whose sum is σ = 20134033920. Its totient is φ = 6960844800.

The previous prime is 12122111327. The next prime is 12122111401. The reversal of 12122111331 is 13311122121.

12122111331 is a `hidden beast` number, since 121 + 2 + 211 + 1 + 331 = 666.

12122111331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122111331 - 2² = 12122111327 is a prime.

It is a super-2 number, since 2×12122111331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122111431) 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 95 ways as a sum of consecutive naturals, for example, 62808771 + ... + 62808963.

It is an arithmetic number, because the mean of its divisors is an integer number (209729520).

Almost surely, 2^12122111331 is an apocalyptic number.

12122111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122111331 is a deficient number, since it is larger than the sum of its proper divisors (8011922589).

12122111331 is a wasteful number, since it uses less digits than its factorization.

12122111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 534 counting only the distinct ones).

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

Adding to 12122111331 its reverse (13311122121), we get a palindrome (25433233452).

The spelling of 12122111331 in words is "twelve billion, one hundred twenty-two million, one hundred eleven thousand, three hundred thirty-one".