12166616160 has 144 divisors (see below), whose sum is σ = 41584823280. Its totient is φ = 3239255040.

The previous prime is 12166616071. The next prime is 12166616173. The reversal of 12166616160 is 6161666121.

It is a happy number.

12166616160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942550 + ... + 955370.

It is an arithmetic number, because the mean of its divisors is an integer number (288783495).

Almost surely, 2^12166616160 is an apocalyptic number.

12166616160 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 12166616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20792411640).

12166616160 is an abundant number, since it is smaller than the sum of its proper divisors (29418207120).

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

12166616160 is a wasteful number, since it uses less digits than its factorization.

12166616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13501 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12166616160 in words is "twelve billion, one hundred sixty-six million, six hundred sixteen thousand, one hundred sixty".