121716 has 72 divisors (see below), whose sum is σ = 383040. Its totient is φ = 33264.

The previous prime is 121711. The next prime is 121721. The reversal of 121716 is 617121.

It is an interprime number because it is at equal distance from previous prime (121711) and next prime (121721).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121711) by changing a digit.

121716 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 5281 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2¹²¹⁷¹⁶ 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 121716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

121716 is an abundant number, since it is smaller than the sum of its proper divisors (261324).

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

121716 is a wasteful number, since it uses less digits than its factorization.

121716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 121716 is about 348.8782022426. The cubic root of 121716 is about 49.5582418221.

Adding to 121716 its reverse (617121), we get a palindrome (738837).

It can be divided in two parts, 12 and 1716, that added together give a cube (1728 = 12³).

The spelling of 121716 in words is "one hundred twenty-one thousand, seven hundred sixteen".