123200 has 84 divisors (see below), whose sum is σ = 377952. Its totient is φ = 38400.

The previous prime is 123191. The next prime is 123203. The reversal of 123200 is 2321.

123200 = 2³ + 3³ + ... + 26³.

It is a Cunningham number, because it is equal to 351²-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203) by changing a digit.

123200 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 11 ways as a sum of consecutive naturals, for example, 11195 + ... + 11205.

2¹²³²⁰⁰ is an apocalyptic number.

123200 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 123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188976).

123200 is an abundant number, since it is smaller than the sum of its proper divisors (254752).

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

123200 is a wasteful number, since it uses less digits than its factorization.

123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 123200 is about 350.9985754957. The cubic root of 123200 is about 49.7588386946.

Adding to 123200 its reverse (2321), we get a palindrome (125521).

It can be divided in two parts, 123 and 200, that added together give a palindrome (323).

The spelling of 123200 in words is "one hundred twenty-three thousand, two hundred", and thus it is an iban number.