12087638668 has 96 divisors (see below), whose sum is σ = 25637900288. Its totient is φ = 4882187520.

The previous prime is 12087638663. The next prime is 12087638677. The reversal of 12087638668 is 86683678021.

12087638668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12087638668² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12087638663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35868196 + ... + 35868532.

Almost surely, 2^12087638668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12087638668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818950144).

12087638668 is an abundant number, since it is smaller than the sum of its proper divisors (13550261620).

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

12087638668 is an equidigital number, since it uses as much as digits as its factorization.

12087638668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 12087638668 in words is "twelve billion, eighty-seven million, six hundred thirty-eight thousand, six hundred sixty-eight".