12323584000 has 576 divisors, whose sum is σ = 39565955520. Its totient is φ = 3730636800.

The previous prime is 12323583997. The next prime is 12323584033. The reversal of 12323584000 is 48532321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12323584000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535807989 + ... + 535808011.

It is an arithmetic number, because the mean of its divisors is an integer number (68690895).

Almost surely, 2^12323584000 is an apocalyptic number.

12323584000 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 12323584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782977760).

12323584000 is an abundant number, since it is smaller than the sum of its proper divisors (27242371520).

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

12323584000 is an equidigital number, since it uses as much as digits as its factorization.

12323584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12323584000 in words is "twelve billion, three hundred twenty-three million, five hundred eighty-four thousand".