12166560 has 288 divisors, whose sum is σ = 50948352. Its totient is φ = 2580480.

The previous prime is 12166547. The next prime is 12166579. The reversal of 12166560 is 6566121.

It is a happy number.

12166560 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 171325 + ... + 171395.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^12166560 is an apocalyptic number.

12166560 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 12166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474176).

12166560 is an abundant number, since it is smaller than the sum of its proper divisors (38781792).

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

12166560 is a wasteful number, since it uses less digits than its factorization.

12166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12166560 is about 3488.0596325178. The cubic root of 12166560 is about 229.9972274398.

It can be divided in two parts, 1216 and 6560, that added together give a 5-th power (7776 = 6⁵).

The spelling of 12166560 in words is "twelve million, one hundred sixty-six thousand, five hundred sixty".