12211111111221 has 24 divisors (see below), whose sum is σ = 19761798167904. Its totient is φ = 7200655198560.

The previous prime is 12211111111219. The next prime is 12211111111301.

12211111111221 is a `hidden beast` number, since 1 + 221 + 1 + 111 + 111 + 221 = 666.

12211111111221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12211111111221 - 2¹ = 12211111111219 is a prime.

It is a super-2 number, since 2×12211111111221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211111111194 and 12211111111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211111111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666814671 + ... + 1666821996.

It is an arithmetic number, because the mean of its divisors is an integer number (823408256996).

Almost surely, 2^{12211111111221} is an apocalyptic number.

12211111111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211111111221 is a deficient number, since it is larger than the sum of its proper divisors (7550687056683).

12211111111221 is a wasteful number, since it uses less digits than its factorization.

12211111111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333636721 (or 3333636718 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 1221111 and 1111221, that added together give a palindrome (2332332).

The spelling of 12211111111221 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty-one".