12211233211221 has 128 divisors (see below), whose sum is σ = 18813029386752. Its totient is φ = 6979737600000.

The previous prime is 12211233211189. The next prime is 12211233211279.

12211233211221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12211233211221 - 2⁵ = 12211233211189 is a prime.

It is a super-2 number, since 2×12211233211221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211233211191 and 12211233211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211233211321) 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 127 ways as a sum of consecutive naturals, for example, 1233328371 + ... + 1233338271.

It is an arithmetic number, because the mean of its divisors is an integer number (146976792084).

Almost surely, 2^{12211233211221} is an apocalyptic number.

12211233211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211233211221 is a deficient number, since it is larger than the sum of its proper divisors (6601796175531).

12211233211221 is a wasteful number, since it uses less digits than its factorization.

12211233211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1221123 and 3211221, that added together give a palindrome (4432344).

The spelling of 12211233211221 in words is "twelve trillion, two hundred eleven billion, two hundred thirty-three million, two hundred eleven thousand, two hundred twenty-one".