12111022011121 has 32 divisors (see below), whose sum is σ = 13887083492352. Its totient is φ = 10549360800000.

The previous prime is 12111022011097. The next prime is 12111022011191.

12111022011121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12111022011121 - 2⁹ = 12111022010609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111022011095 and 12111022011104.

It is not an unprimeable number, because it can be changed into a prime (12111022011191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2714281 + ... + 5620441.

It is an arithmetic number, because the mean of its divisors is an integer number (433971359136).

Almost surely, 2^{12111022011121} is an apocalyptic number.

12111022011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111022011121 is a deficient number, since it is larger than the sum of its proper divisors (1776061481231).

12111022011121 is a wasteful number, since it uses less digits than its factorization.

12111022011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906326 (or 2906304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 1211102 and 2011121, that added together give a palindrome (3222223).

The spelling of 12111022011121 in words is "twelve trillion, one hundred eleven billion, twenty-two million, eleven thousand, one hundred twenty-one".