12211200301121 has 2 divisors, whose sum is σ = 12211200301122. Its totient is φ = 12211200301120.

The previous prime is 12211200301109. The next prime is 12211200301177. The reversal of 12211200301121 is 12110300211221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9996568210225 + 2214632090896 = 3161735^2 + 1488164^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211200301121 - 2⁶ = 12211200301057 is a prime.

It is a super-2 number, since 2×12211200301121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211200301121.

It is not a weakly prime, because it can be changed into another prime (12211200351121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600150560 + 6105600150561.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600150561).

Almost surely, 2^{12211200301121} is an apocalyptic number.

It is an amenable number.

12211200301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211200301121 is an equidigital number, since it uses as much as digits as its factorization.

12211200301121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12211200301121 its reverse (12110300211221), we get a palindrome (24321500512342).

The spelling of 12211200301121 in words is "twelve trillion, two hundred eleven billion, two hundred million, three hundred one thousand, one hundred twenty-one".