12009152508080 has 320 divisors, whose sum is σ = 36531511833600. Its totient is φ = 3565007769600.

The previous prime is 12009152507861. The next prime is 12009152508149. The reversal of 12009152508080 is 8080525190021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13540511 + ... + 14400129.

It is an arithmetic number, because the mean of its divisors is an integer number (114160974480).

Almost surely, 2^{12009152508080} is an apocalyptic number.

12009152508080 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 12009152508080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265755916800).

12009152508080 is an abundant number, since it is smaller than the sum of its proper divisors (24522359325520).

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

12009152508080 is a wasteful number, since it uses less digits than its factorization.

12009152508080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859772 (or 859766 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 12009152508080 in words is "twelve trillion, nine billion, one hundred fifty-two million, five hundred eight thousand, eighty".