12005584080 has 240 divisors, whose sum is σ = 43629689664. Its totient is φ = 2722836480.

The previous prime is 12005584061. The next prime is 12005584121. The reversal of 12005584080 is 8048550021.

12005584080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1536664 + ... + 1544456.

Almost surely, 2^12005584080 is an apocalyptic number.

12005584080 is a gapful number since it is divisible by the number (10) 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 12005584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21814844832).

12005584080 is an abundant number, since it is smaller than the sum of its proper divisors (31624105584).

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

12005584080 is a wasteful number, since it uses less digits than its factorization.

12005584080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 12005584080 in words is "twelve billion, five million, five hundred eighty-four thousand, eighty".