123600 has 60 divisors (see below), whose sum is σ = 399776. Its totient is φ = 32640.

The previous prime is 123593. The next prime is 123601. The reversal of 123600 is 6321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123601) 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, 1149 + ... + 1251.

2¹²³⁶⁰⁰ is an apocalyptic number.

123600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199888).

123600 is an abundant number, since it is smaller than the sum of its proper divisors (276176).

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

123600 is a wasteful number, since it uses less digits than its factorization.

123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123600 is about 351.5679166249. The cubic root of 123600 is about 49.8126320756.

Adding to 123600 its reverse (6321), we get a palindrome (129921).

The spelling of 123600 in words is "one hundred twenty-three thousand, six hundred".