12318544000 has 128 divisors (see below), whose sum is σ = 35002581120. Its totient is φ = 4223462400.

The previous prime is 12318543889. The next prime is 12318544001. The reversal of 12318544000 is 44581321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12318544000.

It is not an unprimeable number, because it can be changed into a prime (12318544001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57007 + ... + 166993.

It is an arithmetic number, because the mean of its divisors is an integer number (273457665).

Almost surely, 2^12318544000 is an apocalyptic number.

12318544000 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 12318544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501290560).

12318544000 is an abundant number, since it is smaller than the sum of its proper divisors (22684037120).

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

12318544000 is an equidigital number, since it uses as much as digits as its factorization.

12318544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110023 (or 110001 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 12318544000 in words is "twelve billion, three hundred eighteen million, five hundred forty-four thousand".