12008468160 has 896 divisors, whose sum is σ = 51001574400. Its totient is φ = 2627665920.

The previous prime is 12008468119. The next prime is 12008468183. The reversal of 12008468160 is 6186480021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36279195 + ... + 36279525.

It is an arithmetic number, because the mean of its divisors is an integer number (56921400).

Almost surely, 2^12008468160 is an apocalyptic number.

12008468160 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 12008468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25500787200).

12008468160 is an abundant number, since it is smaller than the sum of its proper divisors (38993106240).

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

12008468160 is a wasteful number, since it uses less digits than its factorization.

12008468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12008468160 in words is "twelve billion, eight million, four hundred sixty-eight thousand, one hundred sixty".