12114114144 has 48 divisors (see below), whose sum is σ = 34690420800. Its totient is φ = 3670943360.

The previous prime is 12114114097. The next prime is 12114114157. The reversal of 12114114144 is 44141141121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×12114114144³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5734794 + ... + 5736905.

It is an arithmetic number, because the mean of its divisors is an integer number (722717100).

Almost surely, 2^12114114144 is an apocalyptic number.

It is an amenable number.

12114114144 is an abundant number, since it is smaller than the sum of its proper divisors (22576306656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12114114144 is a wasteful number, since it uses less digits than its factorization.

12114114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471723 (or 11471715 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 12114114144 its reverse (44141141121), we get a palindrome (56255255265).

The spelling of 12114114144 in words is "twelve billion, one hundred fourteen million, one hundred fourteen thousand, one hundred forty-four".