122817128 has 48 divisors (see below), whose sum is σ = 270097920. Its totient is φ = 52200288.

The previous prime is 122817127. The next prime is 122817137. The reversal of 122817128 is 821718221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122817094 and 122817103.

It is not an unprimeable number, because it can be changed into a prime (122817127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48551 + ... + 51017.

It is an arithmetic number, because the mean of its divisors is an integer number (5627040).

Almost surely, 2^122817128 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 122817128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135048960).

122817128 is an abundant number, since it is smaller than the sum of its proper divisors (147280792).

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

122817128 is a wasteful number, since it uses less digits than its factorization.

122817128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its digits is 3584, while the sum is 32.

The square root of 122817128 is about 11082.2889332484. The cubic root of 122817128 is about 497.0723957225.

The spelling of 122817128 in words is "one hundred twenty-two million, eight hundred seventeen thousand, one hundred twenty-eight".