122122311122112 has 112 divisors (see below), whose sum is σ = 369304193137152. Its totient is φ = 34889293393920.

The previous prime is 122122311122081. The next prime is 122122311122167. The reversal of 122122311122112 is 211221113221221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13170312 + ... + 20437752.

It is an arithmetic number, because the mean of its divisors is an integer number (3297358867296).

Almost surely, 2^{122122311122112} is an apocalyptic number.

122122311122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122122311122112 is an abundant number, since it is smaller than the sum of its proper divisors (247181882015040).

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

122122311122112 is a wasteful number, since it uses less digits than its factorization.

122122311122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279966 (or 7279956 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 122122311122112 its reverse (211221113221221), we get a palindrome (333343424343333).

The spelling of 122122311122112 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred eleven million, one hundred twenty-two thousand, one hundred twelve".