12584242944000 has 4608 divisors, whose sum is σ = 61351250688000. Its totient is φ = 2515392921600.

The previous prime is 12584242943947. The next prime is 12584242944043. The reversal of 12584242944000 is 44924248521.

12584242944000 is a `hidden beast` number, since 1 + 2 + 584 + 2 + 4 + 29 + 4 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×12584242944000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 662328575991 + ... + 662328576009.

It is an arithmetic number, because the mean of its divisors is an integer number (13314073500).

Almost surely, 2^{12584242944000} is an apocalyptic number.

12584242944000 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 12584242944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30675625344000).

12584242944000 is an abundant number, since it is smaller than the sum of its proper divisors (48767007744000).

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

12584242944000 is an frugal number, since it uses more digits than its factorization.

12584242944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 12584242944000 in words is "twelve trillion, five hundred eighty-four billion, two hundred forty-two million, nine hundred forty-four thousand".