12008793888 has 576 divisors, whose sum is σ = 44861644800. Its totient is φ = 3056901120.

The previous prime is 12008793887. The next prime is 12008793893. The reversal of 12008793888 is 88839780021.

12008793888 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 2×12008793888² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12008793887) 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 95 ways as a sum of consecutive naturals, for example, 31685283 + ... + 31685661.

It is an arithmetic number, because the mean of its divisors is an integer number (77884800).

Almost surely, 2^12008793888 is an apocalyptic number.

12008793888 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 12008793888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22430822400).

12008793888 is an abundant number, since it is smaller than the sum of its proper divisors (32852850912).

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

12008793888 is a wasteful number, since it uses less digits than its factorization.

12008793888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12008793888 in words is "twelve billion, eight million, seven hundred ninety-three thousand, eight hundred eighty-eight".