122022100128 has 96 divisors (see below), whose sum is σ = 326499465600. Its totient is φ = 39888516096.

The previous prime is 122022100121. The next prime is 122022100231. The reversal of 122022100128 is 821001220221.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (122022100121) 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 15 ways as a sum of consecutive naturals, for example, 15662058 + ... + 15669846.

It is an arithmetic number, because the mean of its divisors is an integer number (3401036100).

Almost surely, 2^122022100128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163249732800).

122022100128 is an abundant number, since it is smaller than the sum of its proper divisors (204477365472).

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

122022100128 is a wasteful number, since it uses less digits than its factorization.

122022100128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122022100128 its reverse (821001220221), we get a palindrome (943023320349).

The spelling of 122022100128 in words is "one hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twenty-eight".