11112211221111 has 324 divisors, whose sum is σ = 22670837456904. Its totient is φ = 5183994816000.

The previous prime is 11112211221077. The next prime is 11112211221143.

11112211221111 is a `hidden beast` number, since 1 + 111 + 221 + 1 + 221 + 111 = 666.

11112211221111 is nontrivially palindromic in base 10.

11112211221111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11112211221111 - 2¹⁷ = 11112211090039 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112211221191) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1122327261 + ... + 1122337161.

It is an arithmetic number, because the mean of its divisors is an integer number (69971720546).

Almost surely, 2^{11112211221111} is an apocalyptic number.

11112211221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112211221111 is an abundant number, since it is smaller than the sum of its proper divisors (11558626235793).

11112211221111 is a wasteful number, since it uses less digits than its factorization.

11112211221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10032 (or 9972 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 1111221 and 1221111, that added together give a palindrome (2332332).

The spelling of 11112211221111 in words is "eleven trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred eleven".