12166200 has 120 divisors (see below), whose sum is σ = 42311280. Its totient is φ = 3240000.

The previous prime is 12166181. The next prime is 12166201. The reversal of 12166200 is 266121.

It is a happy number.

12166200 is a `hidden beast` number, since 1 + 2 + 1 + 662 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15825 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (352594).

Almost surely, 2^12166200 is an apocalyptic number.

12166200 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 12166200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21155640).

12166200 is an abundant number, since it is smaller than the sum of its proper divisors (30145080).

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

12166200 is a wasteful number, since it uses less digits than its factorization.

12166200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12166200 is about 3488.0080275137. The cubic root of 12166200 is about 229.9949589317.

The spelling of 12166200 in words is "twelve million, one hundred sixty-six thousand, two hundred".