12166144 has 33 divisors (see below), whose sum is σ = 24545577. Its totient is φ = 6027264.

The previous prime is 12166139. The next prime is 12166159. The reversal of 12166144 is 44166121.

The square root of 12166144 is 3488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8479744 + 3686400 = 2912^2 + 1920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 111562 + ... + 111670.

Almost surely, 2^12166144 is an apocalyptic number.

12166144 is the 3488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166144

12166144 is an abundant number, since it is smaller than the sum of its proper divisors (12379433).

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

12166144 is an frugal number, since it uses more digits than its factorization.

12166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 111 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The cubic root of 12166144 is about 229.9946060487.

Multiplying 12166144 by its sum of digits (25), we get a square (304153600 = 17440²).

The spelling of 12166144 in words is "twelve million, one hundred sixty-six thousand, one hundred forty-four".