12086571168 has 288 divisors, whose sum is σ = 40953983616. Its totient is φ = 3434876928.

The previous prime is 12086571157. The next prime is 12086571169. The reversal of 12086571168 is 86117568021.

12086571168 is a `hidden beast` number, since 12 + 0 + 8 + 6 + 571 + 1 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12086571169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12682180 + ... + 12683132.

It is an arithmetic number, because the mean of its divisors is an integer number (142201332).

Almost surely, 2^12086571168 is an apocalyptic number.

12086571168 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 12086571168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476991808).

12086571168 is an abundant number, since it is smaller than the sum of its proper divisors (28867412448).

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

12086571168 is an equidigital number, since it uses as much as digits as its factorization.

12086571168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12086571168 in words is "twelve billion, eighty-six million, five hundred seventy-one thousand, one hundred sixty-eight".