12733344000 has 864 divisors, whose sum is σ = 52229923200. Its totient is φ = 2952806400.

The previous prime is 12733343999. The next prime is 12733344017. The reversal of 12733344000 is 44333721.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71135911 + ... + 71136089.

It is an arithmetic number, because the mean of its divisors is an integer number (60451300).

Almost surely, 2^12733344000 is an apocalyptic number.

12733344000 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 12733344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114961600).

12733344000 is an abundant number, since it is smaller than the sum of its proper divisors (39496579200).

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

12733344000 is a wasteful number, since it uses less digits than its factorization.

12733344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 12733344000 its reverse (44333721), we get a palindrome (12777677721).

The spelling of 12733344000 in words is "twelve billion, seven hundred thirty-three million, three hundred forty-four thousand".