12211322311221 has 32 divisors (see below), whose sum is σ = 17932567013376. Its totient is φ = 7390944990000.

The previous prime is 12211322311169. The next prime is 12211322311229.

12211322311221 is nontrivially palindromic in base 10.

12211322311221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211322311221 - 2⁷ = 12211322311093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211322311191 and 12211322311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211322311229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962670 + ... + 5034816.

It is an arithmetic number, because the mean of its divisors is an integer number (560392719168).

Almost surely, 2^{12211322311221} is an apocalyptic number.

12211322311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211322311221 is a deficient number, since it is larger than the sum of its proper divisors (5721244702155).

12211322311221 is an equidigital number, since it uses as much as digits as its factorization.

12211322311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072934 (or 4072912 counting only the distinct ones).

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

It can be divided in two parts, 1221132 and 2311221, that added together give a palindrome (3532353).

The spelling of 12211322311221 in words is "twelve trillion, two hundred eleven billion, three hundred twenty-two million, three hundred eleven thousand, two hundred twenty-one".