12184117728 has 48 divisors (see below), whose sum is σ = 32005164240. Its totient is φ = 4058597376.

The previous prime is 12184117721. The next prime is 12184117733. The reversal of 12184117728 is 82771148121.

12184117728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12184117728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12184117721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100326 + ... + 185562.

It is an arithmetic number, because the mean of its divisors is an integer number (666774255).

Almost surely, 2^12184117728 is an apocalyptic number.

It is an amenable number.

12184117728 is an abundant number, since it is smaller than the sum of its proper divisors (19821046512).

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

12184117728 is a wasteful number, since it uses less digits than its factorization.

12184117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86739 (or 86731 counting only the distinct ones).

The product of its digits is 50176, while the sum is 42.

The spelling of 12184117728 in words is "twelve billion, one hundred eighty-four million, one hundred seventeen thousand, seven hundred twenty-eight".