12882258144 has 168 divisors, whose sum is σ = 43458292080. Its totient is φ = 3680598528.

The previous prime is 12882258089. The next prime is 12882258187. The reversal of 12882258144 is 44185228821.

It is a happy number.

12882258144 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 22 + 581 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 12882258144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 123852 + ... + 202740.

It is an arithmetic number, because the mean of its divisors is an integer number (258680310).

Almost surely, 2^12882258144 is an apocalyptic number.

12882258144 is a gapful number since it is divisible by the number (14) 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 12882258144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21729146040).

12882258144 is an abundant number, since it is smaller than the sum of its proper divisors (30576033936).

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

12882258144 is an frugal number, since it uses more digits than its factorization.

12882258144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78924 (or 78901 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

It can be divided in two parts, 128822 and 58144, that added together give a triangular number (186966 = T₆₁₁).

The spelling of 12882258144 in words is "twelve billion, eight hundred eighty-two million, two hundred fifty-eight thousand, one hundred forty-four".