122093568 has 170 divisors, whose sum is σ = 380630184. Its totient is φ = 38928384.

The previous prime is 122093557. The next prime is 122093579. The reversal of 122093568 is 865390221.

122093568 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 93 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (122093557) and next prime (122093579).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308405 + ... + 5308427.

Almost surely, 2^122093568 is an apocalyptic number.

122093568 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 122093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190315092).

122093568 is an abundant number, since it is smaller than the sum of its proper divisors (258536616).

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

122093568 is an frugal number, since it uses more digits than its factorization.

122093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 122093568 is about 11049.5958297125. The cubic root of 122093568 is about 496.0943282269.

The spelling of 122093568 in words is "one hundred twenty-two million, ninety-three thousand, five hundred sixty-eight".