123516 has 36 divisors (see below), whose sum is σ = 323232. Its totient is φ = 39744.

The previous prime is 123503. The next prime is 123517. The reversal of 123516 is 615321.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 1728.

2¹²³⁵¹⁶ 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 123516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616).

123516 is an abundant number, since it is smaller than the sum of its proper divisors (199716).

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

123516 is a wasteful number, since it uses less digits than its factorization.

123516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 123516 is about 351.4484314946. The cubic root of 123516 is about 49.8013451033.

Adding to 123516 its reverse (615321), we get a palindrome (738837).

The spelling of 123516 in words is "one hundred twenty-three thousand, five hundred sixteen".