12056800 has 72 divisors (see below), whose sum is σ = 33654096. Its totient is φ = 4131840.

The previous prime is 12056789. The next prime is 12056801. The reversal of 12056800 is 865021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4524 + ... + 6676.

It is an arithmetic number, because the mean of its divisors is an integer number (467418).

Almost surely, 2^12056800 is an apocalyptic number.

12056800 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 12056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16827048).

12056800 is an abundant number, since it is smaller than the sum of its proper divisors (21597296).

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

12056800 is a wasteful number, since it uses less digits than its factorization.

12056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12056800 is about 3472.2903104435. The cubic root of 12056800 is about 229.3035010170.

The spelling of 12056800 in words is "twelve million, fifty-six thousand, eight hundred".