122416 has 20 divisors (see below), whose sum is σ = 271312. Its totient is φ = 52416.

The previous prime is 122401. The next prime is 122443. The reversal of 122416 is 614221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 122416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 435 + ... + 658.

2¹²²⁴¹⁶ is an apocalyptic number.

122416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122416 is an abundant number, since it is smaller than the sum of its proper divisors (148896).

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

122416 is a wasteful number, since it uses less digits than its factorization.

122416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 122416 is about 349.8799794215. The cubic root of 122416 is about 49.6530649560.

Adding to 122416 its reverse (614221), we get a palindrome (736637).

The spelling of 122416 in words is "one hundred twenty-two thousand, four hundred sixteen".