12133121 has 64 divisors (see below), whose sum is σ = 18579456. Its totient is φ = 7603200.

The previous prime is 12133073. The next prime is 12133129.

12133121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12133121 - 2¹⁰ = 12132097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133096 and 12133105.

It is not an unprimeable number, because it can be changed into a prime (12133129) 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, 391376 + ... + 391406.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 2^12133121 is an apocalyptic number.

12133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12133121 is a deficient number, since it is larger than the sum of its proper divisors (6446335).

12133121 is a wasteful number, since it uses less digits than its factorization.

12133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its digits is 36, while the sum is 14.

The square root of 12133121 is about 3483.2629817457. The cubic root of 12133121 is about 229.7863232887.

It can be divided in two parts, 1213 and 3121, that added together give a palindrome (4334).

The spelling of 12133121 in words is "twelve million, one hundred thirty-three thousand, one hundred twenty-one".