12584228881920 has 640 divisors, whose sum is σ = 43264756592640. Its totient is φ = 3109103861760.

The previous prime is 12584228881901. The next prime is 12584228881921. The reversal of 12584228881920 is 2918882248521.

12584228881920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×12584228881920³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584228881921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3847209885 + ... + 3847213155.

It is an arithmetic number, because the mean of its divisors is an integer number (67601182176).

Almost surely, 2^{12584228881920} is an apocalyptic number.

12584228881920 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 12584228881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632378296320).

12584228881920 is an abundant number, since it is smaller than the sum of its proper divisors (30680527710720).

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

12584228881920 is a wasteful number, since it uses less digits than its factorization.

12584228881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 60.

The spelling of 12584228881920 in words is "twelve trillion, five hundred eighty-four billion, two hundred twenty-eight million, eight hundred eighty-one thousand, nine hundred twenty".