12114366341121 has 24 divisors (see below), whose sum is σ = 19495459960704. Its totient is φ = 7185826582560.

The previous prime is 12114366341087. The next prime is 12114366341137.

12114366341121 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 3 + 6 + 634 + 1 + 12 + 1 = 666.

12114366341121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12114366341121 - 2⁶ = 12114366341057 is a prime.

It is a super-3 number, since 3×12114366341121³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114366341521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301775526 + ... + 1301784831.

It is an arithmetic number, because the mean of its divisors is an integer number (812310831696).

Almost surely, 2^{12114366341121} is an apocalyptic number.

12114366341121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12114366341121 is a deficient number, since it is larger than the sum of its proper divisors (7381093619583).

12114366341121 is a wasteful number, since it uses less digits than its factorization.

12114366341121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603560421 (or 2603560418 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

It can be divided in two parts, 1211436 and 6341121, that added together give a palindrome (7552557).

The spelling of 12114366341121 in words is "twelve trillion, one hundred fourteen billion, three hundred sixty-six million, three hundred forty-one thousand, one hundred twenty-one".