12166128 has 120 divisors (see below), whose sum is σ = 37598288. Its totient is φ = 3649536.

The previous prime is 12166073. The next prime is 12166139. The reversal of 12166128 is 82166121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125376 + ... + 125472.

Almost surely, 2^12166128 is an apocalyptic number.

12166128 is a gapful number since it is divisible by the number (18) 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 12166128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18799144).

12166128 is an abundant number, since it is smaller than the sum of its proper divisors (25432160).

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

12166128 is a wasteful number, since it uses less digits than its factorization.

12166128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12166128 is about 3487.9977064213. The cubic root of 12166128 is about 229.9945052247.

The spelling of 12166128 in words is "twelve million, one hundred sixty-six thousand, one hundred twenty-eight".