122112210220 has 288 divisors, whose sum is σ = 351354931200. Its totient is φ = 34683517440.

The previous prime is 122112210197. The next prime is 122112210223. The reversal of 122112210220 is 22012211221.

It is a happy number.

It is a super-2 number, since 2×122112210220² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112210194 and 122112210203.

It is not an unprimeable number, because it can be changed into a prime (122112210223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17393871 + ... + 17400889.

It is an arithmetic number, because the mean of its divisors is an integer number (1219982400).

Almost surely, 2^122112210220 is an apocalyptic number.

122112210220 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 122112210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175677465600).

122112210220 is an abundant number, since it is smaller than the sum of its proper divisors (229242720980).

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

122112210220 is a wasteful number, since it uses less digits than its factorization.

122112210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122112210220 its reverse (22012211221), we get a palindrome (144124421441).

The spelling of 122112210220 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, two hundred twenty".