12201112112201 has 16 divisors (see below), whose sum is σ = 13595127691200. Its totient is φ = 10900820524608.

The previous prime is 12201112112197. The next prime is 12201112112219. The reversal of 12201112112201 is 10221121110221.

It is not a de Polignac number, because 12201112112201 - 2² = 12201112112197 is a prime.

It is a super-2 number, since 2×12201112112201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12201112112201.

It is not an unprimeable number, because it can be changed into a prime (12201112112251) 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 15 ways as a sum of consecutive naturals, for example, 257459786 + ... + 257507171.

It is an arithmetic number, because the mean of its divisors is an integer number (849695480700).

Almost surely, 2^{12201112112201} is an apocalyptic number.

It is an amenable number.

12201112112201 is a deficient number, since it is larger than the sum of its proper divisors (1394015578999).

12201112112201 is a wasteful number, since it uses less digits than its factorization.

12201112112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514967048.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12201112112201 its reverse (10221121110221), we get a palindrome (22422233222422).

The spelling of 12201112112201 in words is "twelve trillion, two hundred one billion, one hundred twelve million, one hundred twelve thousand, two hundred one".