12416800 has 144 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 4198400.

The previous prime is 12416791. The next prime is 12416819. The reversal of 12416800 is 861421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149559 + ... + 149641.

It is an arithmetic number, because the mean of its divisors is an integer number (246078).

Almost surely, 2^12416800 is an apocalyptic number.

12416800 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 12416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

12416800 is an abundant number, since it is smaller than the sum of its proper divisors (23018432).

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

12416800 is a wasteful number, since it uses less digits than its factorization.

12416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12416800 is about 3523.7480046110. The cubic root of 12416800 is about 231.5633881093.

The spelling of 12416800 in words is "twelve million, four hundred sixteen thousand, eight hundred".