12085008768 has 144 divisors (see below), whose sum is σ = 40453753860. Its totient is φ = 3452843520.

The previous prime is 12085008697. The next prime is 12085008769. The reversal of 12085008768 is 86780058021.

12085008768 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 500 + 87 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085008769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50598 + ... + 163493.

Almost surely, 2^12085008768 is an apocalyptic number.

12085008768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12085008768 is an abundant number, since it is smaller than the sum of its proper divisors (28368745092).

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

12085008768 is a wasteful number, since it uses less digits than its factorization.

12085008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214125 (or 214103 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12085008768 in words is "twelve billion, eighty-five million, eight thousand, seven hundred sixty-eight".