122616 has 48 divisors (see below), whose sum is σ = 360360. Its totient is φ = 37440.

The previous prime is 122611. The next prime is 122651. The reversal of 122616 is 616221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 122616.

It is not an unprimeable number, because it can be changed into a prime (122611) by changing a digit.

122616 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 11 ways as a sum of consecutive naturals, for example, 871 + ... + 1001.

2¹²²⁶¹⁶ 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 122616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180).

122616 is an abundant number, since it is smaller than the sum of its proper divisors (237744).

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

122616 is a wasteful number, since it uses less digits than its factorization.

122616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 122616 is about 350.1656750740. The cubic root of 122616 is about 49.6800908615.

Adding to 122616 its product of digits (144), we get a triangular number (122760 = T₄₉₅).

Adding to 122616 its reverse (616221), we get a palindrome (738837).

It can be divided in two parts, 12 and 2616, that added together give a triangular number (2628 = T₇₂).

The spelling of 122616 in words is "one hundred twenty-two thousand, six hundred sixteen".