12211111210221 has 72 divisors (see below), whose sum is σ = 22554127129248. Its totient is φ = 6295010904000.

The previous prime is 12211111210189. The next prime is 12211111210247. The reversal of 12211111210221 is 12201211111221.

It is a happy number.

12211111210221 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 11 + 210 + 221 = 666.

It is not a de Polignac number, because 12211111210221 - 2⁵ = 12211111210189 is a prime.

It is a super-2 number, since 2×12211111210221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211111210194 and 12211111210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211111210621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8972290 + ... + 10243251.

It is an arithmetic number, because the mean of its divisors is an integer number (313251765684).

Almost surely, 2^{12211111210221} is an apocalyptic number.

12211111210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211111210221 is a deficient number, since it is larger than the sum of its proper divisors (10343015919027).

12211111210221 is a wasteful number, since it uses less digits than its factorization.

12211111210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19215703 (or 19215693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211111210221 its reverse (12201211111221), we get a palindrome (24412322321442).

The spelling of 12211111210221 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, two hundred ten thousand, two hundred twenty-one".