123336 has 32 divisors (see below), whose sum is σ = 343200. Its totient is φ = 41040.

The previous prime is 123323. The next prime is 123341. The reversal of 123336 is 633321.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 plaindrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (10725).

2¹²³³³⁶ 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 123336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171600).

123336 is an abundant number, since it is smaller than the sum of its proper divisors (219864).

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

123336 is a wasteful number, since it uses less digits than its factorization.

123336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 123336 is about 351.1922550399. The cubic root of 123336 is about 49.7771414908. Note that the first 3 decimals are identical.

Adding to 123336 its reverse (633321), we get a palindrome (756657).

It can be divided in two parts, 123 and 336, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 123336 in words is "one hundred twenty-three thousand, three hundred thirty-six".