12082166082 has 192 divisors, whose sum is σ = 32428032000. Its totient is φ = 3240609120.

The previous prime is 12082166081. The next prime is 12082166113. The reversal of 12082166082 is 28066128021.

12082166082 is a `hidden beast` number, since 1 + 20 + 8 + 21 + 6 + 608 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12082166081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14897457 + ... + 14898267.

It is an arithmetic number, because the mean of its divisors is an integer number (168896000).

Almost surely, 2^12082166082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12082166082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214016000).

12082166082 is an abundant number, since it is smaller than the sum of its proper divisors (20345865918).

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

12082166082 is a wasteful number, since it uses less digits than its factorization.

12082166082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12082166082 in words is "twelve billion, eighty-two million, one hundred sixty-six thousand, eighty-two".