122816 has 28 divisors (see below), whose sum is σ = 259080. Its totient is φ = 57600.

The previous prime is 122789. The next prime is 122819. The reversal of 122816 is 618221.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122816.

It is not an unprimeable number, because it can be changed into a prime (122819) by changing a digit.

122816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1166 + ... + 1266.

2¹²²⁸¹⁶ is an apocalyptic number.

122816 is a gapful number since it is divisible by the number (16) 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 122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129540).

122816 is an abundant number, since it is smaller than the sum of its proper divisors (136264).

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

122816 is a wasteful number, since it uses less digits than its factorization.

122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 122816 is about 350.4511378210. The cubic root of 122816 is about 49.7070873950.

The spelling of 122816 in words is "one hundred twenty-two thousand, eight hundred sixteen".