12114133031 has 64 divisors (see below), whose sum is σ = 17234488320. Its totient is φ = 8200258560.

The previous prime is 12114133013. The next prime is 12114133039. The reversal of 12114133031 is 13033141121.

It is not a de Polignac number, because 12114133031 - 2¹⁴ = 12114116647 is a prime.

It is a super-3 number, since 3×12114133031³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12114132994 and 12114133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114133039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2983955 + ... + 2988011.

It is an arithmetic number, because the mean of its divisors is an integer number (269288880).

Almost surely, 2^12114133031 is an apocalyptic number.

12114133031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12114133031 is a deficient number, since it is larger than the sum of its proper divisors (5120355289).

12114133031 is a wasteful number, since it uses less digits than its factorization.

12114133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12114133031 its reverse (13033141121), we get a palindrome (25147274152).

The spelling of 12114133031 in words is "twelve billion, one hundred fourteen million, one hundred thirty-three thousand, thirty-one".