12131422413121 has 16 divisors (see below), whose sum is σ = 13320734025600. Its totient is φ = 10956542762880.

The previous prime is 12131422413109. The next prime is 12131422413167.

12131422413121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12131422413121 - 2¹⁵ = 12131422380353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12131422413121.

It is not an unprimeable number, because it can be changed into a prime (12131422413191) 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, 10139085 + ... + 11272261.

It is an arithmetic number, because the mean of its divisors is an integer number (832545876600).

Almost surely, 2^{12131422413121} is an apocalyptic number.

12131422413121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12131422413121 is a deficient number, since it is larger than the sum of its proper divisors (1189311612479).

12131422413121 is a wasteful number, since it uses less digits than its factorization.

12131422413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139544.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1213142 and 2413121, that added together give a palindrome (3626263).

The spelling of 12131422413121 in words is "twelve trillion, one hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, one hundred twenty-one".