12085168160160 has 288 divisors, whose sum is σ = 43093644572160. Its totient is φ = 3078300217344.

The previous prime is 12085168160159. The next prime is 12085168160171. The reversal of 12085168160160 is 6106186158021.

12085168160160 is a `hidden beast` number, since 1 + 20 + 8 + 5 + 16 + 8 + 1 + 601 + 6 + 0 = 666.

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

It is a super-2 number, since 2×12085168160160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23559532 + ... + 24067028.

It is an arithmetic number, because the mean of its divisors is an integer number (149630710320).

Almost surely, 2^{12085168160160} is an apocalyptic number.

12085168160160 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 12085168160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546822286080).

12085168160160 is an abundant number, since it is smaller than the sum of its proper divisors (31008476412000).

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

12085168160160 is a wasteful number, since it uses less digits than its factorization.

12085168160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508260 (or 508249 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12085168160160 in words is "twelve trillion, eighty-five billion, one hundred sixty-eight million, one hundred sixty thousand, one hundred sixty".