122122311120 has 320 divisors, whose sum is σ = 452944224000. Its totient is φ = 30130274304.

The previous prime is 122122311119. The next prime is 122122311151. The reversal of 122122311120 is 21113221221.

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 = 122122311093 and 122122311102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2138296 + ... + 2194664.

It is an arithmetic number, because the mean of its divisors is an integer number (1415450700).

Almost surely, 2^122122311120 is an apocalyptic number.

122122311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226472112000).

122122311120 is an abundant number, since it is smaller than the sum of its proper divisors (330821912880).

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

122122311120 is a wasteful number, since it uses less digits than its factorization.

122122311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56467 (or 56455 counting only the distinct ones).

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

Adding to 122122311120 its reverse (21113221221), we get a palindrome (143235532341).

The spelling of 122122311120 in words is "one hundred twenty-two billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twenty".