12844225105920 has 2288 divisors, whose sum is σ = 53629066666560. Its totient is φ = 2925595459584.

The previous prime is 12844225105853. The next prime is 12844225105927. The reversal of 12844225105920 is 2950152244821.

12844225105920 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 2 + 2 + 51 + 0 + 592 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844225105927) by changing a digit.

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 175 ways as a sum of consecutive naturals, for example, 298702909419 + ... + 298702909461.

Almost surely, 2^{12844225105920} is an apocalyptic number.

12844225105920 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 12844225105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814533333280).

12844225105920 is an abundant number, since it is smaller than the sum of its proper divisors (40784841560640).

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

12844225105920 is an frugal number, since it uses more digits than its factorization.

12844225105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12844225105920 in words is "twelve trillion, eight hundred forty-four billion, two hundred twenty-five million, one hundred five thousand, nine hundred twenty".