12008112480 has 1296 divisors, whose sum is σ = 55358568720. Its totient is φ = 2354946048.

The previous prime is 12008112449. The next prime is 12008112517. The reversal of 12008112480 is 8421180021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 226568134 + ... + 226568186.

It is an arithmetic number, because the mean of its divisors is an integer number (42714945).

Almost surely, 2^12008112480 is an apocalyptic number.

12008112480 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 12008112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679284360).

12008112480 is an abundant number, since it is smaller than the sum of its proper divisors (43350456240).

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

12008112480 is a wasteful number, since it uses less digits than its factorization.

12008112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 12008112480 in words is "twelve billion, eight million, one hundred twelve thousand, four hundred eighty".