122120210120 has 64 divisors (see below), whose sum is σ = 289812600000. Its totient is φ = 46184249088.

The previous prime is 122120210059. The next prime is 122120210129. The reversal of 122120210120 is 21012021221.

It is a junction number, because it is equal to n+sod(n) for n = 122120210095 and 122120210104.

It is not an unprimeable number, because it can be changed into a prime (122120210129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218234 + ... + 540246.

It is an arithmetic number, because the mean of its divisors is an integer number (4528321875).

Almost surely, 2^122120210120 is an apocalyptic number.

122120210120 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 122120210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144906300000).

122120210120 is an abundant number, since it is smaller than the sum of its proper divisors (167692389880).

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

122120210120 is a wasteful number, since it uses less digits than its factorization.

122120210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322542 (or 322538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120210120 its reverse (21012021221), we get a palindrome (143132231341).

The spelling of 122120210120 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".