122333311122 has 128 divisors (see below), whose sum is σ = 290079387648. Its totient is φ = 34013548800.

The previous prime is 122333311103. The next prime is 122333311123. The reversal of 122333311122 is 221113333221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122333311092 and 122333311101.

It is not an unprimeable number, because it can be changed into a prime (122333311123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3972448 + ... + 4003124.

It is an arithmetic number, because the mean of its divisors is an integer number (2266245216).

Almost surely, 2^122333311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122333311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145039693824).

122333311122 is an abundant number, since it is smaller than the sum of its proper divisors (167746076526).

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

122333311122 is a wasteful number, since it uses less digits than its factorization.

122333311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30824.

The product of its digits is 1296, while the sum is 24.

Adding to 122333311122 its reverse (221113333221), we get a palindrome (343446644343).

The spelling of 122333311122 in words is "one hundred twenty-two billion, three hundred thirty-three million, three hundred eleven thousand, one hundred twenty-two".