12424800 has 144 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 3187200.

The previous prime is 12424799. The next prime is 12424813. The reversal of 12424800 is 842421.

12424800 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 23 ways as a sum of consecutive naturals, for example, 74317 + ... + 74483.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 2^12424800 is an apocalyptic number.

12424800 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 12424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

12424800 is an abundant number, since it is smaller than the sum of its proper divisors (29572512).

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

12424800 is a wasteful number, since it uses less digits than its factorization.

12424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12424800 is about 3524.8829767809. The cubic root of 12424800 is about 231.6131086331.

The spelling of 12424800 in words is "twelve million, four hundred twenty-four thousand, eight hundred".