12166 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 4680.

The previous prime is 12163. The next prime is 12197. The reversal of 12166 is 66121.

12166 = T₂₃ + T₂₄ + ... + T₄₃.

It is a Cunningham number, because it is equal to 23³-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹²¹⁶⁶ is an apocalyptic number.

12166 is a deficient number, since it is larger than the sum of its proper divisors (10874).

12166 is a wasteful number, since it uses less digits than its factorization.

12166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its digits is 72, while the sum is 16.

The square root of 12166 is about 110.2995920210. The cubic root of 12166 is about 22.9993698630. Note that the first 3 decimals are identical.

Adding to 12166 its reverse (66121), we get a palindrome (78287).

The spelling of 12166 in words is "twelve thousand, one hundred sixty-six".