12818304000 has 352 divisors, whose sum is σ = 47388868800. Its totient is φ = 3417292800.

The previous prime is 12818303989. The next prime is 12818304043. The reversal of 12818304000 is 40381821.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3454146 + ... + 3457854.

Almost surely, 2^12818304000 is an apocalyptic number.

12818304000 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 12818304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694434400).

12818304000 is an abundant number, since it is smaller than the sum of its proper divisors (34570564800).

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

12818304000 is an equidigital number, since it uses as much as digits as its factorization.

12818304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12818304000 its reverse (40381821), we get a palindrome (12858685821).

The spelling of 12818304000 in words is "twelve billion, eight hundred eighteen million, three hundred four thousand".