12081562668 has 192 divisors, whose sum is σ = 37403197440. Its totient is φ = 3299745600.

The previous prime is 12081562643. The next prime is 12081562673. The reversal of 12081562668 is 86626518021.

12081562668 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 15 + 626 + 6 + 8 = 666.

It is a super-2 number, since 2×12081562668² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1942083 + ... + 1948293.

It is an arithmetic number, because the mean of its divisors is an integer number (194808320).

Almost surely, 2^12081562668 is an apocalyptic number.

12081562668 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 12081562668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701598720).

12081562668 is an abundant number, since it is smaller than the sum of its proper divisors (25321634772).

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

12081562668 is a wasteful number, since it uses less digits than its factorization.

12081562668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12081562668 in words is "twelve billion, eighty-one million, five hundred sixty-two thousand, six hundred sixty-eight".