12168800 has 144 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 3993600.

The previous prime is 12168799. The next prime is 12168803. The reversal of 12168800 is 886121.

12168800 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12168800 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12168800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12168803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229574 + ... + 229626.

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

Almost surely, 2^12168800 is an apocalyptic number.

12168800 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 12168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

12168800 is an abundant number, since it is smaller than the sum of its proper divisors (23266432).

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

12168800 is a wasteful number, since it uses less digits than its factorization.

12168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 12168800 is about 3488.3807131676. The cubic root of 12168800 is about 230.0113415957.

It can be divided in two parts, 12168 and 800, that multiplied together give a square (9734400 = 3120²).

The spelling of 12168800 in words is "twelve million, one hundred sixty-eight thousand, eight hundred".