12009362688 has 108 divisors (see below), whose sum is σ = 34759364640. Its totient is φ = 3987698688.

The previous prime is 12009362627. The next prime is 12009362693. The reversal of 12009362688 is 88626390021.

12009362688 is a `hidden beast` number, since 1 + 200 + 9 + 362 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 596043 + ... + 615861.

Almost surely, 2^12009362688 is an apocalyptic number.

12009362688 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 12009362688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379682320).

12009362688 is an abundant number, since it is smaller than the sum of its proper divisors (22750001952).

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

12009362688 is a wasteful number, since it uses less digits than its factorization.

12009362688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20104 (or 20087 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12009362688 in words is "twelve billion, nine million, three hundred sixty-two thousand, six hundred eighty-eight".