12245281728 has 336 divisors, whose sum is σ = 36417991680. Its totient is φ = 3624652800.

The previous prime is 12245281691. The next prime is 12245281729. The reversal of 12245281728 is 82718254221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12245281728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245281729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88095483 + ... + 88095621.

It is an arithmetic number, because the mean of its divisors is an integer number (108386880).

Almost surely, 2^12245281728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12245281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208995840).

12245281728 is an abundant number, since it is smaller than the sum of its proper divisors (24172709952).

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

12245281728 is a wasteful number, since it uses less digits than its factorization.

12245281728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 235 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The spelling of 12245281728 in words is "twelve billion, two hundred forty-five million, two hundred eighty-one thousand, seven hundred twenty-eight".