122201311122 has 96 divisors (see below), whose sum is σ = 304008816384. Its totient is φ = 36477896400.

The previous prime is 122201311079. The next prime is 122201311153. The reversal of 122201311122 is 221113102221.

122201311122 is a `hidden beast` number, since 12 + 220 + 1 + 311 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122201311095 and 122201311104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187597 + ... + 528767.

It is an arithmetic number, because the mean of its divisors is an integer number (3166758504).

Almost surely, 2^122201311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152004408192).

122201311122 is an abundant number, since it is smaller than the sum of its proper divisors (181807505262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122201311122 is a wasteful number, since it uses less digits than its factorization.

122201311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341266 (or 341254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122201311122 its reverse (221113102221), we get a palindrome (343314413343).

The spelling of 122201311122 in words is "one hundred twenty-two billion, two hundred one million, three hundred eleven thousand, one hundred twenty-two".