12211200221121 has 48 divisors (see below), whose sum is σ = 19272969555840. Its totient is φ = 7388781500160.

The previous prime is 12211200221029. The next prime is 12211200221149. The reversal of 12211200221121 is 12112200211221.

12211200221121 is a `hidden beast` number, since 1 + 221 + 1 + 200 + 221 + 1 + 21 = 666.

It is not a de Polignac number, because 12211200221121 - 2¹³ = 12211200212929 is a prime.

It is a super-2 number, since 2×12211200221121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211200221094 and 12211200221103.

It is not an unprimeable number, because it can be changed into a prime (12211200221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213196675 + ... + 213253943.

It is an arithmetic number, because the mean of its divisors is an integer number (401520199080).

Almost surely, 2^{12211200221121} is an apocalyptic number.

12211200221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211200221121 is a deficient number, since it is larger than the sum of its proper divisors (7061769334719).

12211200221121 is a wasteful number, since it uses less digits than its factorization.

12211200221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60726 (or 60723 counting only the distinct ones).

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

Adding to 12211200221121 its reverse (12112200211221), we get a palindrome (24323400432342).

The spelling of 12211200221121 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".