122008128 has 112 divisors (see below), whose sum is σ = 361005120. Its totient is φ = 36044800.

The previous prime is 122008127. The next prime is 122008147. The reversal of 122008128 is 821800221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122008098 and 122008107.

It is not an unprimeable number, because it can be changed into a prime (122008121) 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 15 ways as a sum of consecutive naturals, for example, 85888 + ... + 87296.

It is an arithmetic number, because the mean of its divisors is an integer number (3223260).

Almost surely, 2^122008128 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 122008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180502560).

122008128 is an abundant number, since it is smaller than the sum of its proper divisors (238996992).

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

122008128 is a wasteful number, since it uses less digits than its factorization.

122008128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 122008128 is about 11045.7289483311. The cubic root of 122008128 is about 495.9785804139.

Adding to 122008128 its reverse (821800221), we get a palindrome (943808349).

The spelling of 122008128 in words is "one hundred twenty-two million, eight thousand, one hundred twenty-eight".