12211011211221 has 24 divisors (see below), whose sum is σ = 18275141765400. Its totient is φ = 7850561596416.

The previous prime is 12211011211207. The next prime is 12211011211253. The reversal of 12211011211221 is 12211211011221.

It is a happy number.

12211011211221 is a `hidden beast` number, since 1 + 221 + 1 + 0 + 11 + 211 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 452412900 + 12210558798321 = 21270^2 + 3494361^2 .

It is not a de Polignac number, because 12211011211221 - 2⁷ = 12211011211093 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12211011211194 and 12211011211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211011219221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162217696 + ... + 162292953.

It is an arithmetic number, because the mean of its divisors is an integer number (761464240225).

Almost surely, 2^{12211011211221} is an apocalyptic number.

It is an amenable number.

12211011211221 is a deficient number, since it is larger than the sum of its proper divisors (6064130554179).

12211011211221 is a wasteful number, since it uses less digits than its factorization.

12211011211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324510805 (or 324510802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211011211221 its reverse (12211211011221), we get a palindrome (24422222222442).

The spelling of 12211011211221 in words is "twelve trillion, two hundred eleven billion, eleven million, two hundred eleven thousand, two hundred twenty-one".