12211200112301 has 2 divisors, whose sum is σ = 12211200112302. Its totient is φ = 12211200112300.

The previous prime is 12211200112273. The next prime is 12211200112313. The reversal of 12211200112301 is 10321100211221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9764212551076 + 2446987561225 = 3124774^2 + 1564285^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211200112301 - 2¹⁴ = 12211200095917 is a prime.

It is a super-2 number, since 2×12211200112301² (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 12211200112301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211200111301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600056150 + 6105600056151.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600056151).

Almost surely, 2^{12211200112301} is an apocalyptic number.

It is an amenable number.

12211200112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211200112301 is an equidigital number, since it uses as much as digits as its factorization.

12211200112301 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 12211200112301 its reverse (10321100211221), we get a palindrome (22532300323522).

The spelling of 12211200112301 in words is "twelve trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, three hundred one".