12448800 has 432 divisors, whose sum is σ = 56871360. Its totient is φ = 2488320.

The previous prime is 12448771. The next prime is 12448817. The reversal of 12448800 is 884421.

12448800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655191 + ... + 655209.

It is a vampire number, since it can be written as 1482 ⋅ 8400 (with its own digits).

Almost surely, 2^12448800 is an apocalyptic number.

12448800 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 12448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

12448800 is an abundant number, since it is smaller than the sum of its proper divisors (44422560).

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

12448800 is a wasteful number, since it uses less digits than its factorization.

12448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12448800 is about 3528.2857027174. The cubic root of 12448800 is about 231.7621422683.

The spelling of 12448800 in words is "twelve million, four hundred forty-eight thousand, eight hundred".