12228725361888 has 360 divisors, whose sum is σ = 41929442478000. Its totient is φ = 3486123712512.

The previous prime is 12228725361887. The next prime is 12228725361911. The reversal of 12228725361888 is 88816352782221.

12228725361888 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 8 + 7 + 2 + 5 + 3 + 618 + 8 + 8 = 666.

12228725361888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228725361887) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56919373 + ... + 57133811.

It is an arithmetic number, because the mean of its divisors is an integer number (116470673550).

Almost surely, 2^{12228725361888} is an apocalyptic number.

12228725361888 is a gapful number since it is divisible by the number (18) 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 12228725361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20964721239000).

12228725361888 is an abundant number, since it is smaller than the sum of its proper divisors (29700717116112).

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

12228725361888 is a wasteful number, since it uses less digits than its factorization.

12228725361888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214924 (or 214900 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 12228725361888 in words is "twelve trillion, two hundred twenty-eight billion, seven hundred twenty-five million, three hundred sixty-one thousand, eight hundred eighty-eight".