12211122120201 has 12 divisors (see below), whose sum is σ = 18114997980612. Its totient is φ = 7920727861536.

The previous prime is 12211122120191. The next prime is 12211122120203. The reversal of 12211122120201 is 10202122111221.

12211122120201 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 221 + 20 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4881784194576 + 7329337925625 = 2209476^2 + 2707275^2 .

It is not a de Polignac number, because 12211122120201 - 2¹³ = 12211122112009 is a prime.

It is a super-3 number, since 3×12211122120201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12211122120203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18335017866 + ... + 18335018531.

It is an arithmetic number, because the mean of its divisors is an integer number (1509583165051).

Almost surely, 2^{12211122120201} is an apocalyptic number.

It is an amenable number.

12211122120201 is a deficient number, since it is larger than the sum of its proper divisors (5903875860411).

12211122120201 is a wasteful number, since it uses less digits than its factorization.

12211122120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36670036440 (or 36670036437 counting only the distinct ones).

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

Adding to 12211122120201 its reverse (10202122111221), we get a palindrome (22413244231422).

The spelling of 12211122120201 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".