12111311311121 has 16 divisors (see below), whose sum is σ = 13623817394880. Its totient is φ = 10672390672320.

The previous prime is 12111311311093. The next prime is 12111311311129.

12111311311121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12111311311121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111311311093 and 12111311311102.

It is not an unprimeable number, because it can be changed into a prime (12111311311129) 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, 125096906 + ... + 125193683.

It is an arithmetic number, because the mean of its divisors is an integer number (851488587180).

Almost surely, 2^{12111311311121} is an apocalyptic number.

12111311311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111311311121 is a deficient number, since it is larger than the sum of its proper divisors (1512506083759).

12111311311121 is a wasteful number, since it uses less digits than its factorization.

12111311311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250290736.

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 1211131 and 1311121, that added together give a palindrome (2522252).

The spelling of 12111311311121 in words is "twelve trillion, one hundred eleven billion, three hundred eleven million, three hundred eleven thousand, one hundred twenty-one".