12180800 has 84 divisors (see below), whose sum is σ = 31370016. Its totient is φ = 4646400.

The previous prime is 12180797. The next prime is 12180803. The reversal of 12180800 is 808121.

12180800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12180797) and next prime (12180803).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180803) 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, 36635 + ... + 36965.

Almost surely, 2^12180800 is an apocalyptic number.

12180800 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 12180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685008).

12180800 is an abundant number, since it is smaller than the sum of its proper divisors (19189216).

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

12180800 is a wasteful number, since it uses less digits than its factorization.

12180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 12180800 is about 3490.1002850921. The cubic root of 12180800 is about 230.0869236666.

Adding to 12180800 its reverse (808121), we get a palindrome (12988921).

The spelling of 12180800 in words is "twelve million, one hundred eighty thousand, eight hundred".