12368824800 has 288 divisors, whose sum is σ = 42252295680. Its totient is φ = 3138508800.

The previous prime is 12368824799. The next prime is 12368824823. The reversal of 12368824800 is 842886321.

It is a happy number.

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, 4940349 + ... + 4942851.

It is an arithmetic number, because the mean of its divisors is an integer number (146709360).

Almost surely, 2^12368824800 is an apocalyptic number.

12368824800 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 12368824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21126147840).

12368824800 is an abundant number, since it is smaller than the sum of its proper divisors (29883470880).

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

12368824800 is a wasteful number, since it uses less digits than its factorization.

12368824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 12368824800 in words is "twelve billion, three hundred sixty-eight million, eight hundred twenty-four thousand, eight hundred".