123323200 has 378 divisors, whose sum is σ = 417849558. Its totient is φ = 35481600.

The previous prime is 123323197. The next prime is 123323201. The reversal of 123323200 is 2323321.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 122943744 = 616^2 + 11088^2 .

It is a super-2 number, since 2×123323200² = 30417223316480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123323201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9486394 + ... + 9486406.

Almost surely, 2^123323200 is an apocalyptic number.

123323200 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 123323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208924779).

123323200 is an abundant number, since it is smaller than the sum of its proper divisors (294526358).

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

123323200 is a wasteful number, since it uses less digits than its factorization.

123323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 123323200 is about 11105.0979284291. The cubic root of 123323200 is about 497.7541944846.

Adding to 123323200 its reverse (2323321), we get a palindrome (125646521).

It can be divided in two parts, 123 and 323200, that added together give a palindrome (323323).

The spelling of 123323200 in words is "one hundred twenty-three million, three hundred twenty-three thousand, two hundred".