122057568 has 72 divisors (see below), whose sum is σ = 349713000. Its totient is φ = 40379904.

The previous prime is 122057567. The next prime is 122057581. The reversal of 122057568 is 865750221.

It is a happy number.

122057568 is a `hidden beast` number, since 1 + 2 + 20 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122057563) 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 11 ways as a sum of consecutive naturals, for example, 38508 + ... + 41556.

It is an arithmetic number, because the mean of its divisors is an integer number (4857125).

Almost surely, 2^122057568 is an apocalyptic number.

122057568 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 122057568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174856500).

122057568 is an abundant number, since it is smaller than the sum of its proper divisors (227655432).

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

122057568 is a wasteful number, since it uses less digits than its factorization.

122057568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 122057568 is about 11047.9666907536. The cubic root of 122057568 is about 496.0455646660.

The spelling of 122057568 in words is "one hundred twenty-two million, fifty-seven thousand, five hundred sixty-eight".