12211022011221 has 24 divisors (see below), whose sum is σ = 19283349365280. Its totient is φ = 7384565968800.

The previous prime is 12211022011189. The next prime is 12211022011241.

12211022011221 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 220 + 11 + 221 = 666.

12211022011221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12211022011221 - 2⁵ = 12211022011189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12211022011194 and 12211022011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211022011241) 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, 133732731 + ... + 133824008.

It is an arithmetic number, because the mean of its divisors is an integer number (803472890220).

Almost surely, 2^{12211022011221} is an apocalyptic number.

12211022011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211022011221 is a deficient number, since it is larger than the sum of its proper divisors (7072327354059).

12211022011221 is a wasteful number, since it uses less digits than its factorization.

12211022011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267557217 (or 267557214 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1221102 and 2011221, that added together give a palindrome (3232323).

The spelling of 12211022011221 in words is "twelve trillion, two hundred eleven billion, twenty-two million, eleven thousand, two hundred twenty-one".