12005175840 has 384 divisors, whose sum is σ = 45798359040. Its totient is φ = 2582212608.

The previous prime is 12005175751. The next prime is 12005175851. The reversal of 12005175840 is 4857150021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11043777 + ... + 11044863.

It is an arithmetic number, because the mean of its divisors is an integer number (119266560).

Almost surely, 2^12005175840 is an apocalyptic number.

12005175840 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 12005175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899179520).

12005175840 is an abundant number, since it is smaller than the sum of its proper divisors (33793183200).

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

12005175840 is a wasteful number, since it uses less digits than its factorization.

12005175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 12005175840 in words is "twelve billion, five million, one hundred seventy-five thousand, eight hundred forty".