12327315840 has 384 divisors, whose sum is σ = 49842112320. Its totient is φ = 2748579840.

The previous prime is 12327315829. The next prime is 12327315851. The reversal of 12327315840 is 4851372321.

12327315840 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 73 + 1 + 584 + 0 = 666.

12327315840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12327315829) and next prime (12327315851).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12327315840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12327315795 and 12327315804.

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, 1649392 + ... + 1656848.

Almost surely, 2^12327315840 is an apocalyptic number.

12327315840 is a gapful number since it is divisible by the number (10) 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 12327315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24921056160).

12327315840 is an abundant number, since it is smaller than the sum of its proper divisors (37514796480).

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

12327315840 is a wasteful number, since it uses less digits than its factorization.

12327315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12327315840 in words is "twelve billion, three hundred twenty-seven million, three hundred fifteen thousand, eight hundred forty".