221344123221 has 24 divisors (see below), whose sum is σ = 349029711576. Its totient is φ = 134345848320.

The previous prime is 221344123219. The next prime is 221344123249. The reversal of 221344123221 is 122321443122.

221344123221 is a `hidden beast` number, since 2 + 21 + 3 + 4 + 412 + 3 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104652900 + 221239470321 = 10230^2 + 470361^2 .

It is not a de Polignac number, because 221344123221 - 2¹ = 221344123219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221344123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12949200 + ... + 12966281.

It is an arithmetic number, because the mean of its divisors is an integer number (14542904649).

Almost surely, 2^221344123221 is an apocalyptic number.

It is an amenable number.

221344123221 is a deficient number, since it is larger than the sum of its proper divisors (127685588355).

221344123221 is a wasteful number, since it uses less digits than its factorization.

221344123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25915573 (or 25915570 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 221344123221 its reverse (122321443122), we get a palindrome (343665566343).

The spelling of 221344123221 in words is "two hundred twenty-one billion, three hundred forty-four million, one hundred twenty-three thousand, two hundred twenty-one".