12304315152 has 320 divisors, whose sum is σ = 38968934400. Its totient is φ = 3704279040.

The previous prime is 12304315139. The next prime is 12304315187. The reversal of 12304315152 is 25151340321.

12304315152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 13244224 + ... + 13245152.

It is an arithmetic number, because the mean of its divisors is an integer number (121777920).

Almost surely, 2^12304315152 is an apocalyptic number.

12304315152 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 12304315152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484467200).

12304315152 is an abundant number, since it is smaller than the sum of its proper divisors (26664619248).

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

12304315152 is a wasteful number, since it uses less digits than its factorization.

12304315152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12304315152 its reverse (25151340321), we get a palindrome (37455655473).

The spelling of 12304315152 in words is "twelve billion, three hundred four million, three hundred fifteen thousand, one hundred fifty-two".