12024512000 has 80 divisors (see below), whose sum is σ = 29984031792. Its totient is φ = 4809779200.

The previous prime is 12024511999. The next prime is 12024512009. The reversal of 12024512000 is 21542021.

12024512000 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12024512000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024512009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29942 + ... + 157941.

Almost surely, 2^12024512000 is an apocalyptic number.

12024512000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12024512000 is an abundant number, since it is smaller than the sum of its proper divisors (17959519792).

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

12024512000 is an frugal number, since it uses more digits than its factorization.

12024512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187916 (or 187890 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The spelling of 12024512000 in words is "twelve billion, twenty-four million, five hundred twelve thousand".