12318428000 has 96 divisors (see below), whose sum is σ = 30366161280. Its totient is φ = 4911129600.

The previous prime is 12318427973. The next prime is 12318428069. The reversal of 12318428000 is 82481321.

12318428000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1247081 + ... + 1256919.

It is an arithmetic number, because the mean of its divisors is an integer number (316314180).

Almost surely, 2^12318428000 is an apocalyptic number.

12318428000 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 12318428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183080640).

12318428000 is an abundant number, since it is smaller than the sum of its proper divisors (18047733280).

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

12318428000 is an equidigital number, since it uses as much as digits as its factorization.

12318428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 12318428000 in words is "twelve billion, three hundred eighteen million, four hundred twenty-eight thousand".