12111122111121 has 48 divisors (see below), whose sum is σ = 20241217459008. Its totient is φ = 6896535552000.

The previous prime is 12111122111111. The next prime is 12111122111149.

12111122111121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12111122111121 - 2⁶ = 12111122111057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111122111094 and 12111122111103.

It is not an unprimeable number, because it can be changed into a prime (12111122111111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5141680 + ... + 7117521.

It is an arithmetic number, because the mean of its divisors is an integer number (421692030396).

Almost surely, 2^{12111122111121} is an apocalyptic number.

12111122111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111122111121 is a deficient number, since it is larger than the sum of its proper divisors (8130095347887).

12111122111121 is a wasteful number, since it uses less digits than its factorization.

12111122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259822 (or 12259819 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 1211112 and 2111121, that added together give a palindrome (3322233).

The spelling of 12111122111121 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".