12385599072 has 288 divisors, whose sum is σ = 41968160640. Its totient is φ = 3161733120.

The previous prime is 12385599059. The next prime is 12385599113. The reversal of 12385599072 is 27099558321.

12385599072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12385599072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3050868 + ... + 3054924.

It is an arithmetic number, because the mean of its divisors is an integer number (145722780).

Almost surely, 2^12385599072 is an apocalyptic number.

12385599072 is a gapful number since it is divisible by the number (12) 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 12385599072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20984080320).

12385599072 is an abundant number, since it is smaller than the sum of its proper divisors (29582561568).

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

12385599072 is a wasteful number, since it uses less digits than its factorization.

12385599072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 12385599072 in words is "twelve billion, three hundred eighty-five million, five hundred ninety-nine thousand, seventy-two".