12008082240 has 672 divisors, whose sum is σ = 51957524736. Its totient is φ = 2472837120.

The previous prime is 12008082197. The next prime is 12008082253. The reversal of 12008082240 is 4228080021.

12008082240 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 (672).

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 95 ways as a sum of consecutive naturals, for example, 38364324 + ... + 38364636.

Almost surely, 2^12008082240 is an apocalyptic number.

12008082240 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 12008082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25978762368).

12008082240 is an abundant number, since it is smaller than the sum of its proper divisors (39949442496).

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

12008082240 is a wasteful number, since it uses less digits than its factorization.

12008082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12008082240 in words is "twelve billion, eight million, eighty-two thousand, two hundred forty".