12008856384 has 336 divisors, whose sum is σ = 42020459520. Its totient is φ = 3204956160.

The previous prime is 12008856383. The next prime is 12008856397. The reversal of 12008856384 is 48365880021.

12008856384 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 8 + 8 + 5 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008856383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3623112 + ... + 3626424.

Almost surely, 2^12008856384 is an apocalyptic number.

12008856384 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 12008856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21010229760).

12008856384 is an abundant number, since it is smaller than the sum of its proper divisors (30011603136).

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

12008856384 is a wasteful number, since it uses less digits than its factorization.

12008856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12008856384 in words is "twelve billion, eight million, eight hundred fifty-six thousand, three hundred eighty-four".