12113311331121 has 288 divisors, whose sum is σ = 22984419102336. Its totient is φ = 5651021376000.

The previous prime is 12113311331117. The next prime is 12113311331189.

12113311331121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12113311331121 - 2² = 12113311331117 is a prime.

It is a super-2 number, since 2×12113311331121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12113311331091 and 12113311331100.

It is not an unprimeable number, because it can be changed into a prime (12113311331021) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1223438271 + ... + 1223448171.

It is an arithmetic number, because the mean of its divisors is an integer number (79807010772).

Almost surely, 2^{12113311331121} is an apocalyptic number.

12113311331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12113311331121 is a deficient number, since it is larger than the sum of its proper divisors (10871107771215).

12113311331121 is a wasteful number, since it uses less digits than its factorization.

12113311331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014 (or 9972 counting only the distinct ones).

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

It can be divided in two parts, 1211331 and 1331121, that added together give a palindrome (2542452).

The spelling of 12113311331121 in words is "twelve trillion, one hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, one hundred twenty-one".