12134466443121 has 256 divisors, whose sum is σ = 20921953812480. Its totient is φ = 6157122048000.

The previous prime is 12134466443081. The next prime is 12134466443147.

12134466443121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12134466443121 - 2²³ = 12134458054513 is a prime.

It is a super-2 number, since 2×12134466443121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12134466443821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2586752386 + ... + 2586757076.

It is an arithmetic number, because the mean of its divisors is an integer number (81726382080).

Almost surely, 2^{12134466443121} is an apocalyptic number.

12134466443121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12134466443121 is a deficient number, since it is larger than the sum of its proper divisors (8787487369359).

12134466443121 is a wasteful number, since it uses less digits than its factorization.

12134466443121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 1213446 and 6443121, that added together give a palindrome (7656567).

The spelling of 12134466443121 in words is "twelve trillion, one hundred thirty-four billion, four hundred sixty-six million, four hundred forty-three thousand, one hundred twenty-one".