123300 has 54 divisors (see below), whose sum is σ = 389298. Its totient is φ = 32640.

The previous prime is 123289. The next prime is 123307. The reversal of 123300 is 3321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 112896 = 102^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123307) by changing a digit.

123300 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 17 ways as a sum of consecutive naturals, for example, 832 + ... + 968.

2¹²³³⁰⁰ is an apocalyptic number.

123300 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 123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194649).

123300 is an abundant number, since it is smaller than the sum of its proper divisors (265998).

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

123300 is a wasteful number, since it uses less digits than its factorization.

123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 123300 is about 351.1409973216. The cubic root of 123300 is about 49.7722979429.

Adding to 123300 its reverse (3321), we get a palindrome (126621).

The spelling of 123300 in words is "one hundred twenty-three thousand, three hundred", and thus it is an iban number.