122428768 has 72 divisors (see below), whose sum is σ = 302850576. Its totient is φ = 47688960.

The previous prime is 122428763. The next prime is 122428877. The reversal of 122428768 is 867824221.

It is a self number, because there is not a number n which added to its sum of digits gives 122428768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122428763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24846 + ... + 29362.

It is an arithmetic number, because the mean of its divisors is an integer number (4206258).

Almost surely, 2^122428768 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 122428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151425288).

122428768 is an abundant number, since it is smaller than the sum of its proper divisors (180421808).

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

122428768 is a wasteful number, since it uses less digits than its factorization.

122428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4537 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 122428768 is about 11064.7534089107. The cubic root of 122428768 is about 496.5479116903.

It can be divided in two parts, 1224 and 28768, that added together give a palindrome (29992).

The spelling of 122428768 in words is "one hundred twenty-two million, four hundred twenty-eight thousand, seven hundred sixty-eight".