12111333311121 has 32 divisors (see below), whose sum is σ = 18094543668096. Its totient is φ = 7141053312000.

The previous prime is 12111333311111. The next prime is 12111333311123.

12111333311121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12111333311121 - 2²³ = 12111324922513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111333311091 and 12111333311100.

It is not an unprimeable number, because it can be changed into a prime (12111333311123) 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 31 ways as a sum of consecutive naturals, for example, 10976601 + ... + 12029481.

It is an arithmetic number, because the mean of its divisors is an integer number (565454489628).

Almost surely, 2^{12111333311121} is an apocalyptic number.

12111333311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111333311121 is a deficient number, since it is larger than the sum of its proper divisors (5983210356975).

12111333311121 is a wasteful number, since it uses less digits than its factorization.

12111333311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062353.

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 1211133 and 3311121, that added together give a palindrome (4522254).

The spelling of 12111333311121 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-three million, three hundred eleven thousand, one hundred twenty-one".