12121122133121 has 4 divisors (see below), whose sum is σ = 12326564881200. Its totient is φ = 11915679385044.

The previous prime is 12121122133097. The next prime is 12121122133147. The reversal of 12121122133121 is 12133122112121.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12121122133121 - 2²² = 12121117938817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12121122153121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102721373951 + ... + 102721374068.

It is an arithmetic number, because the mean of its divisors is an integer number (3081641220300).

Almost surely, 2^{12121122133121} is an apocalyptic number.

It is an amenable number.

12121122133121 is a deficient number, since it is larger than the sum of its proper divisors (205442748079).

12121122133121 is an equidigital number, since it uses as much as digits as its factorization.

12121122133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205442748078.

The product of its digits is 288, while the sum is 23.

Adding to 12121122133121 its reverse (12133122112121), we get a palindrome (24254244245242).

The spelling of 12121122133121 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-one".