122558128 has 80 divisors (see below), whose sum is σ = 305694720. Its totient is φ = 46195200.

The previous prime is 122558057. The next prime is 122558129. The reversal of 122558128 is 821855221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122558093 and 122558102.

It is not an unprimeable number, because it can be changed into a prime (122558129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36588 + ... + 39796.

It is an arithmetic number, because the mean of its divisors is an integer number (3821184).

Almost surely, 2^122558128 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 122558128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152847360).

122558128 is an abundant number, since it is smaller than the sum of its proper divisors (183136592).

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

122558128 is a wasteful number, since it uses less digits than its factorization.

122558128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3260 counting only the distinct ones).

The product of its digits is 12800, while the sum is 34.

The square root of 122558128 is about 11070.5974545189. The cubic root of 122558128 is about 496.7227366895.

The spelling of 122558128 in words is "one hundred twenty-two million, five hundred fifty-eight thousand, one hundred twenty-eight".