12412800 has 144 divisors (see below), whose sum is σ = 44394480. Its totient is φ = 3302400.

The previous prime is 12412793. The next prime is 12412819. The reversal of 12412800 is 821421.

12412800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28585 + ... + 29015.

It is an arithmetic number, because the mean of its divisors is an integer number (308295).

Almost surely, 2^12412800 is an apocalyptic number.

12412800 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 12412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197240).

12412800 is an abundant number, since it is smaller than the sum of its proper divisors (31981680).

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

12412800 is a wasteful number, since it uses less digits than its factorization.

12412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12412800 is about 3523.1803814168. The cubic root of 12412800 is about 231.5385198386.

The spelling of 12412800 in words is "twelve million, four hundred twelve thousand, eight hundred".