122220010120 has 256 divisors, whose sum is σ = 318427200000. Its totient is φ = 41820143616.

The previous prime is 122220010111. The next prime is 122220010127. The reversal of 122220010120 is 21010022221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 122220010120.

It is not an unprimeable number, because it can be changed into a prime (122220010127) 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, 244929631 + ... + 244930129.

It is an arithmetic number, because the mean of its divisors is an integer number (1243856250).

Almost surely, 2^122220010120 is an apocalyptic number.

122220010120 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 122220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600000).

122220010120 is an abundant number, since it is smaller than the sum of its proper divisors (196207189880).

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

122220010120 is a wasteful number, since it uses less digits than its factorization.

122220010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122220010120 its reverse (21010022221), we get a palindrome (143230032341).

The spelling of 122220010120 in words is "one hundred twenty-two billion, two hundred twenty million, ten thousand, one hundred twenty".