12166080 has 224 divisors, whose sum is σ = 43891200. Its totient is φ = 2838528.

The previous prime is 12166073. The next prime is 12166139. The reversal of 12166080 is 8066121.

12166080 = T₃₃₅ + T₃₃₆ + ... + T₄₇₉.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12166080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 419506 + ... + 419534.

Almost surely, 2^12166080 is an apocalyptic number.

12166080 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 12166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

12166080 is an abundant number, since it is smaller than the sum of its proper divisors (31725120).

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

12166080 is a wasteful number, since it uses less digits than its factorization.

12166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12166080 is about 3487.9908256760. The cubic root of 12166080 is about 229.9942027524.

The spelling of 12166080 in words is "twelve million, one hundred sixty-six thousand, eighty".