122283168 has 96 divisors (see below), whose sum is σ = 368718336. Its totient is φ = 34760448.

The previous prime is 122283149. The next prime is 122283179. The reversal of 122283168 is 861382221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122283168² = 29906346352232448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189855 + ... + 190497.

It is an arithmetic number, because the mean of its divisors is an integer number (3840816).

Almost surely, 2^122283168 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 122283168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184359168).

122283168 is an abundant number, since it is smaller than the sum of its proper divisors (246435168).

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

122283168 is a wasteful number, since it uses less digits than its factorization.

122283168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 122283168 is about 11058.1720008327. The cubic root of 122283168 is about 496.3509915919.

The spelling of 122283168 in words is "one hundred twenty-two million, two hundred eighty-three thousand, one hundred sixty-eight".