12344083136 has 126 divisors (see below), whose sum is σ = 31321386684. Its totient is φ = 4809235200.

The previous prime is 12344083127. The next prime is 12344083151. The reversal of 12344083136 is 63138044321.

12344083136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12344083096 and 12344083105.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 363191 + ... + 395721.

It is an arithmetic number, because the mean of its divisors is an integer number (248582434).

Almost surely, 2^12344083136 is an apocalyptic number.

12344083136 is a gapful number since it is divisible by the number (16) 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 12344083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660693342).

12344083136 is an abundant number, since it is smaller than the sum of its proper divisors (18977303548).

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

12344083136 is a wasteful number, since it uses less digits than its factorization.

12344083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32579 (or 32551 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 12344083136 in words is "twelve billion, three hundred forty-four million, eighty-three thousand, one hundred thirty-six".