12201122110221 has 48 divisors (see below), whose sum is σ = 19756717468800. Its totient is φ = 7190725829760.

The previous prime is 12201122110097. The next prime is 12201122110337.

12201122110221 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 221 + 1 + 0 + 221 = 666.

12201122110221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12201122110221 - 2¹¹ = 12201122108173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12201122110194 and 12201122110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201122110421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5597055 + ... + 7465203.

It is an arithmetic number, because the mean of its divisors is an integer number (411598280600).

Almost surely, 2^{12201122110221} is an apocalyptic number.

12201122110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201122110221 is a deficient number, since it is larger than the sum of its proper divisors (7555595358579).

12201122110221 is a wasteful number, since it uses less digits than its factorization.

12201122110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869986 (or 1869983 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, 1220112 and 2110221, that added together give a palindrome (3330333).

The spelling of 12201122110221 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty-one".