12211002011221 has 16 divisors (see below), whose sum is σ = 13337526711600. Its totient is φ = 11111974207488.

The previous prime is 12211002011119. The next prime is 12211002011233. The reversal of 12211002011221 is 12211020011221.

It can be written as a sum of positive squares in 8 ways, for example, as 1245201564996 + 10965800446225 = 1115886^2 + 3311465^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211002011221 - 2¹⁷ = 12211001880149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211002011195 and 12211002011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211002011521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15268876 + ... + 16048693.

It is an arithmetic number, because the mean of its divisors is an integer number (833595419475).

Almost surely, 2^{12211002011221} is an apocalyptic number.

It is an amenable number.

12211002011221 is a deficient number, since it is larger than the sum of its proper divisors (1126524700379).

12211002011221 is a wasteful number, since it uses less digits than its factorization.

12211002011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318008.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211002011221 its reverse (12211020011221), we get a palindrome (24422022022442).

The spelling of 12211002011221 in words is "twelve trillion, two hundred eleven billion, two million, eleven thousand, two hundred twenty-one".