12008128384 has 64 divisors (see below), whose sum is σ = 27555471360. Its totient is φ = 5105769984.

The previous prime is 12008128373. The next prime is 12008128409. The reversal of 12008128384 is 48382180021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61029 + ... + 166555.

It is an arithmetic number, because the mean of its divisors is an integer number (430554240).

Almost surely, 2^12008128384 is an apocalyptic number.

12008128384 is a gapful number since it is divisible by the number (14) 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 12008128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777735680).

12008128384 is an abundant number, since it is smaller than the sum of its proper divisors (15547342976).

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

12008128384 is a wasteful number, since it uses less digits than its factorization.

12008128384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105675 (or 105663 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 12008128384 in words is "twelve billion, eight million, one hundred twenty-eight thousand, three hundred eighty-four".