12211111122001 has 16 divisors (see below), whose sum is σ = 13702720344768. Its totient is φ = 10787471755200.

The previous prime is 12211111121981. The next prime is 12211111122011. The reversal of 12211111122001 is 10022111111221.

12211111122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12211111122001 is a prime.

It is a super-3 number, since 3×12211111122001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211111122011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109573086 + ... + 109684471.

It is an arithmetic number, because the mean of its divisors is an integer number (856420021548).

Almost surely, 2^{12211111122001} is an apocalyptic number.

12211111122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211111122001 is a deficient number, since it is larger than the sum of its proper divisors (1491609222767).

12211111122001 is a wasteful number, since it uses less digits than its factorization.

12211111122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219257712.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12211111122001 its reverse (10022111111221), we get a palindrome (22233222233222).

The spelling of 12211111122001 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, one".