12436800000 has 240 divisors, whose sum is σ = 41428848384. Its totient is φ = 3315200000.

The previous prime is 12436799983. The next prime is 12436800011. The reversal of 12436800000 is 863421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4798705 + ... + 4801295.

Almost surely, 2^12436800000 is an apocalyptic number.

12436800000 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 12436800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714424192).

12436800000 is an abundant number, since it is smaller than the sum of its proper divisors (28992048384).

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

12436800000 is an frugal number, since it uses more digits than its factorization.

12436800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 12436800000 in words is "twelve billion, four hundred thirty-six million, eight hundred thousand".