12516 has 24 divisors (see below), whose sum is σ = 33600. Its totient is φ = 3552.

The previous prime is 12511. The next prime is 12517. The reversal of 12516 is 61521.

12516 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12495 and 12504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12511) by changing a digit.

12516 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 7 ways as a sum of consecutive naturals, for example, 10 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2¹²⁵¹⁶ 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 12516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

12516 is an abundant number, since it is smaller than the sum of its proper divisors (21084).

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

12516 is a wasteful number, since it uses less digits than its factorization.

12516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 12516 is about 111.8749301676. The cubic root of 12516 is about 23.2178420024.

It can be divided in two parts, 125 and 16, that added together give a palindrome (141).

The spelling of 12516 in words is "twelve thousand, five hundred sixteen".