12211122111221 has 16 divisors (see below), whose sum is σ = 13917018067200. Its totient is φ = 10612105224000.

The previous prime is 12211122111197. The next prime is 12211122111241.

It is a happy number.

12211122111221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12211122111221 - 2¹⁴ = 12211122094837 is a prime.

It is a super-2 number, since 2×12211122111221² (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 = 12211122111193 and 12211122111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122111241) 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 15 ways as a sum of consecutive naturals, for example, 189469661 + ... + 189534098.

It is an arithmetic number, because the mean of its divisors is an integer number (869813629200).

Almost surely, 2^{12211122111221} is an apocalyptic number.

12211122111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211122111221 is a deficient number, since it is larger than the sum of its proper divisors (1705895955979).

12211122111221 is a wasteful number, since it uses less digits than its factorization.

12211122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379003900.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 1221112 and 2111221, that added together give a palindrome (3332333).

The spelling of 12211122111221 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".