12271728365568 has 546 divisors, whose sum is σ = 42801530500134. Its totient is φ = 3506166300672.

The previous prime is 12271728365563. The next prime is 12271728365579. The reversal of 12271728365568 is 86556382717221.

12271728365568 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 1 + 7 + 2 + 8 + 3 + 65 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7943198183424 + 4328530182144 = 2818368^2 + 2080512^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12271728365563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 146271280 + ... + 146355152.

Almost surely, 2^{12271728365568} is an apocalyptic number.

12271728365568 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 12271728365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400765250067).

12271728365568 is an abundant number, since it is smaller than the sum of its proper divisors (30529802134566).

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

12271728365568 is an frugal number, since it uses more digits than its factorization.

12271728365568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83929 (or 83885 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 12271728365568 in words is "twelve trillion, two hundred seventy-one billion, seven hundred twenty-eight million, three hundred sixty-five thousand, five hundred sixty-eight".