123123200 has 60 divisors (see below), whose sum is σ = 305079060. Its totient is φ = 49244160.

The previous prime is 123123151. The next prime is 123123229. The reversal of 123123200 is 2321321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7991 + ... + 17609.

It is an arithmetic number, because the mean of its divisors is an integer number (5084651).

Almost surely, 2^123123200 is an apocalyptic number.

123123200 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 123123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152539530).

123123200 is an abundant number, since it is smaller than the sum of its proper divisors (181955860).

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

123123200 is an frugal number, since it uses more digits than its factorization.

123123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123123200 is about 11096.0894012260. The cubic root of 123123200 is about 497.4849704642.

Adding to 123123200 its reverse (2321321), we get a palindrome (125444521).

The spelling of 123123200 in words is "one hundred twenty-three million, one hundred twenty-three thousand, two hundred".