122292768 has 192 divisors, whose sum is σ = 372556800. Its totient is φ = 34836480.

The previous prime is 122292763. The next prime is 122292773. The reversal of 122292768 is 867292221.

It is an interprime number because it is at equal distance from previous prime (122292763) and next prime (122292773).

It is a super-2 number, since 2×122292768² = 29911042210203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (122292763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121898 + ... + 1122006.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^122292768 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 122292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

122292768 is an abundant number, since it is smaller than the sum of its proper divisors (250264032).

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

122292768 is a wasteful number, since it uses less digits than its factorization.

122292768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 122292768 is about 11058.6060604400. The cubic root of 122292768 is about 496.3639801466.

The spelling of 122292768 in words is "one hundred twenty-two million, two hundred ninety-two thousand, seven hundred sixty-eight".