12008438784 has 352 divisors, whose sum is σ = 38997806400. Its totient is φ = 3633315840.

The previous prime is 12008438719. The next prime is 12008438803. The reversal of 12008438784 is 48783480021.

12008438784 is a `hidden beast` number, since 1 + 200 + 8 + 438 + 7 + 8 + 4 = 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 31 ways as a sum of consecutive naturals, for example, 13630024 + ... + 13630904.

Almost surely, 2^12008438784 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 12008438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498903200).

12008438784 is an abundant number, since it is smaller than the sum of its proper divisors (26989367616).

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

12008438784 is a wasteful number, since it uses less digits than its factorization.

12008438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12008438784 in words is "twelve billion, eight million, four hundred thirty-eight thousand, seven hundred eighty-four".