12108800 has 132 divisors (see below), whose sum is σ = 33505296. Its totient is φ = 4300800.

The previous prime is 12108797. The next prime is 12108809. The reversal of 12108800 is 880121.

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

It is not an unprimeable number, because it can be changed into a prime (12108809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281579 + ... + 281621.

It is an arithmetic number, because the mean of its divisors is an integer number (253828).

Almost surely, 2^12108800 is an apocalyptic number.

12108800 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 12108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752648).

12108800 is an abundant number, since it is smaller than the sum of its proper divisors (21396496).

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

12108800 is a wasteful number, since it uses less digits than its factorization.

12108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

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

The square root of 12108800 is about 3479.7701073490. The cubic root of 12108800 is about 229.6326840205.

Adding to 12108800 its reverse (880121), we get a palindrome (12988921).

It can be divided in two parts, 1210 and 8800, that multiplied together give a cube (10648000 = 220³).

The spelling of 12108800 in words is "twelve million, one hundred eight thousand, eight hundred".