12123144132121 has 16 divisors (see below), whose sum is σ = 13356478944000. Its totient is φ = 10911685824000.

The previous prime is 12123144132109. The next prime is 12123144132163.

12123144132121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12123144132121 - 2¹⁹ = 12123143607833 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 12123144132121.

It is not an unprimeable number, because it can be changed into a prime (12123144132521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70628320 + ... + 70799758.

It is an arithmetic number, because the mean of its divisors is an integer number (834779934000).

Almost surely, 2^{12123144132121} is an apocalyptic number.

12123144132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123144132121 is a deficient number, since it is larger than the sum of its proper divisors (1233334811879).

12123144132121 is a wasteful number, since it uses less digits than its factorization.

12123144132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235200.

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

It can be divided in two parts, 1212314 and 4132121, that added together give a palindrome (5344435).

The spelling of 12123144132121 in words is "twelve trillion, one hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, one hundred twenty-one".