12242211224221 has 64 divisors (see below), whose sum is σ = 15382360276992. Its totient is φ = 9599990400000.

The previous prime is 12242211224209. The next prime is 12242211224249.

It is a happy number.

12242211224221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12242211224221 - 2¹¹ = 12242211222173 is a prime.

It is a super-3 number, since 3×12242211224221³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12242211224221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242211224291) 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 63 ways as a sum of consecutive naturals, for example, 13011886 + ... + 13920976.

It is an arithmetic number, because the mean of its divisors is an integer number (240349379328).

Almost surely, 2^{12242211224221} is an apocalyptic number.

12242211224221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12242211224221 is a deficient number, since it is larger than the sum of its proper divisors (3140149052771).

12242211224221 is a wasteful number, since it uses less digits than its factorization.

12242211224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909274.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1224221 and 1224221, that added together give a palindrome (2448442).

The spelling of 12242211224221 in words is "twelve trillion, two hundred forty-two billion, two hundred eleven million, two hundred twenty-four thousand, two hundred twenty-one".