12818323200 has 216 divisors, whose sum is σ = 44143924608. Its totient is φ = 3269488640.

The previous prime is 12818323151. The next prime is 12818323213. The reversal of 12818323200 is 232381821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427087 + ... + 456113.

Almost surely, 2^12818323200 is an apocalyptic number.

12818323200 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 12818323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22071962304).

12818323200 is an abundant number, since it is smaller than the sum of its proper divisors (31325601408).

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

12818323200 is a wasteful number, since it uses less digits than its factorization.

12818323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29079 (or 29060 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12818323200 in words is "twelve billion, eight hundred eighteen million, three hundred twenty-three thousand, two hundred".