12166400 has 54 divisors (see below), whose sum is σ = 30129582. Its totient is φ = 4864000.

The previous prime is 12166393. The next prime is 12166421. The reversal of 12166400 is 466121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 12166144 = 16^2 + 3488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5450 + ... + 7350.

Almost surely, 2^12166400 is an apocalyptic number.

12166400 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 12166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064791).

12166400 is an abundant number, since it is smaller than the sum of its proper divisors (17963182).

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

12166400 is an equidigital number, since it uses as much as digits as its factorization.

12166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12166400 is about 3488.0366970547. The cubic root of 12166400 is about 229.9962192195.

The spelling of 12166400 in words is "twelve million, one hundred sixty-six thousand, four hundred".