122211011111211 has 192 divisors, whose sum is σ = 202041370911744. Its totient is φ = 71118013063680.

The previous prime is 122211011111201. The next prime is 122211011111237. The reversal of 122211011111211 is 112111110112221.

122211011111211 is a `hidden beast` number, since 1 + 222 + 110 + 11 + 111 + 211 = 666.

It is not a de Polignac number, because 122211011111211 - 2¹⁷ = 122211010980139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211011111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56763125311 + ... + 56763127463.

It is an arithmetic number, because the mean of its divisors is an integer number (1052298806832).

Almost surely, 2^{122211011111211} is an apocalyptic number.

122211011111211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211011111211 is a deficient number, since it is larger than the sum of its proper divisors (79830359800533).

122211011111211 is a wasteful number, since it uses less digits than its factorization.

122211011111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3830 counting only the distinct ones).

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

Adding to 122211011111211 its reverse (112111110112221), we get a palindrome (234322121223432).

It can be divided in two parts, 1222110 and 11111211, that added together give a palindrome (12333321).

The spelling of 122211011111211 in words is "one hundred twenty-two trillion, two hundred eleven billion, eleven million, one hundred eleven thousand, two hundred eleven".