12818736000 has 896 divisors, whose sum is σ = 54958138560. Its totient is φ = 2911334400.

The previous prime is 12818735971. The next prime is 12818736011. The reversal of 12818736000 is 63781821.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81647922 + ... + 81648078.

Almost surely, 2^12818736000 is an apocalyptic number.

12818736000 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 12818736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479069280).

12818736000 is an abundant number, since it is smaller than the sum of its proper divisors (42139402560).

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

12818736000 is an frugal number, since it uses more digits than its factorization.

12818736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12818736000 in words is "twelve billion, eight hundred eighteen million, seven hundred thirty-six thousand".