122316 has 12 divisors (see below), whose sum is σ = 285432. Its totient is φ = 40768.

The previous prime is 122299. The next prime is 122321. The reversal of 122316 is 613221.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×122316² = 29922407712, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122295 and 122304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5085 + ... + 5108.

It is an arithmetic number, because the mean of its divisors is an integer number (23786).

2¹²²³¹⁶ is an apocalyptic number.

It is an amenable number.

122316 is an abundant number, since it is smaller than the sum of its proper divisors (163116).

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

122316 is a wasteful number, since it uses less digits than its factorization.

122316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10198 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 122316 is about 349.7370440774. The cubic root of 122316 is about 49.6395409636.

Adding to 122316 its reverse (613221), we get a palindrome (735537).

The spelling of 122316 in words is "one hundred twenty-two thousand, three hundred sixteen".