12211222110221 has 8 divisors (see below), whose sum is σ = 12215099784888. Its totient is φ = 12207344800000.

The previous prime is 12211222110163. The next prime is 12211222110251. The reversal of 12211222110221 is 12201122211221.

It can be written as a sum of positive squares in 4 ways, for example, as 87107029321 + 12124115080900 = 295139^2 + 3481970^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12211222110221 - 2²² = 12211217915917 is a prime.

It is a super-2 number, since 2×12211222110221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211222110193 and 12211222110202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211222110251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77108921 + ... + 77267121.

It is an arithmetic number, because the mean of its divisors is an integer number (1526887473111).

Almost surely, 2^{12211222110221} is an apocalyptic number.

It is an amenable number.

12211222110221 is a deficient number, since it is larger than the sum of its proper divisors (3877674667).

12211222110221 is a wasteful number, since it uses less digits than its factorization.

12211222110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182223.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12211222110221 its reverse (12201122211221), we get a palindrome (24412344321442).

The spelling of 12211222110221 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, one hundred ten thousand, two hundred twenty-one".