12185999568 has 120 divisors (see below), whose sum is σ = 36353421000. Its totient is φ = 3797286912.

The previous prime is 12185999533. The next prime is 12185999569. The reversal of 12185999568 is 86599958121.

12185999568 is a `hidden beast` number, since 1 + 2 + 18 + 59 + 9 + 9 + 568 = 666.

12185999568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224640144 + 11961359424 = 14988^2 + 109368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12185999569) 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 23 ways as a sum of consecutive naturals, for example, 348048 + ... + 381456.

It is an arithmetic number, because the mean of its divisors is an integer number (302945175).

Almost surely, 2^12185999568 is an apocalyptic number.

12185999568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12185999568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176710500).

12185999568 is an abundant number, since it is smaller than the sum of its proper divisors (24167421432).

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

12185999568 is a wasteful number, since it uses less digits than its factorization.

12185999568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33589 (or 33580 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

It can be divided in two parts, 12185 and 999568, that added together give a triangular number (1011753 = T₁₄₂₂).

The spelling of 12185999568 in words is "twelve billion, one hundred eighty-five million, nine hundred ninety-nine thousand, five hundred sixty-eight".