12244578888960 has 864 divisors, whose sum is σ = 47950513228800. Its totient is φ = 2857602908160.

The previous prime is 12244578888937. The next prime is 12244578888973. The reversal of 12244578888960 is 6988887544221.

12244578888960 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 457 + 8 + 8 + 88 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1297227921 + ... + 1297237359.

It is an arithmetic number, because the mean of its divisors is an integer number (55498279200).

Almost surely, 2^{12244578888960} is an apocalyptic number.

12244578888960 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 12244578888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23975256614400).

12244578888960 is an abundant number, since it is smaller than the sum of its proper divisors (35705934339840).

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

12244578888960 is a wasteful number, since it uses less digits than its factorization.

12244578888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 12244578888960 in words is "twelve trillion, two hundred forty-four billion, five hundred seventy-eight million, eight hundred eighty-eight thousand, nine hundred sixty".