12618144000 has 864 divisors, whose sum is σ = 56706773760. Its totient is φ = 2617344000.

The previous prime is 12618143999. The next prime is 12618144031. The reversal of 12618144000 is 44181621.

It is a happy number.

12618144000 is a `hidden beast` number, since 1 + 2 + 618 + 1 + 4 + 40 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22175716 + ... + 22176284.

It is an arithmetic number, because the mean of its divisors is an integer number (65632840).

Almost surely, 2^12618144000 is an apocalyptic number.

12618144000 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 12618144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28353386880).

12618144000 is an abundant number, since it is smaller than the sum of its proper divisors (44088629760).

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

12618144000 is a wasteful number, since it uses less digits than its factorization.

12618144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12618144000 in words is "twelve billion, six hundred eighteen million, one hundred forty-four thousand".