12455116800 has 432 divisors, whose sum is σ = 47328345792. Its totient is φ = 2831155200.

The previous prime is 12455116781. The next prime is 12455116813. The reversal of 12455116800 is 861155421.

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, 68812710 + ... + 68812890.

It is an arithmetic number, because the mean of its divisors is an integer number (109556356).

Almost surely, 2^12455116800 is an apocalyptic number.

12455116800 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 12455116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23664172896).

12455116800 is an abundant number, since it is smaller than the sum of its proper divisors (34873228992).

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

12455116800 is an frugal number, since it uses more digits than its factorization.

12455116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 12455116800 in words is "twelve billion, four hundred fifty-five million, one hundred sixteen thousand, eight hundred".