122795568 has 120 divisors (see below), whose sum is σ = 410085360. Its totient is φ = 35078400.

The previous prime is 122795567. The next prime is 122795587. The reversal of 122795568 is 865597221.

122795568 is a `hidden beast` number, since 1 + 22 + 79 + 556 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (122795567) 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 23 ways as a sum of consecutive naturals, for example, 18268 + ... + 24068.

It is an arithmetic number, because the mean of its divisors is an integer number (3417378).

Almost surely, 2^122795568 is an apocalyptic number.

122795568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122795568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205042680).

122795568 is an abundant number, since it is smaller than the sum of its proper divisors (287289792).

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

122795568 is a wasteful number, since it uses less digits than its factorization.

122795568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5813 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 122795568 is about 11081.3161673151. The cubic root of 122795568 is about 497.0433077384.

The spelling of 122795568 in words is "one hundred twenty-two million, seven hundred ninety-five thousand, five hundred sixty-eight".