123331200 has 192 divisors, whose sum is σ = 421178400. Its totient is φ = 31682560.

The previous prime is 123331163. The next prime is 123331207. The reversal of 123331200 is 2133321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123331200.

It is not an unprimeable number, because it can be changed into a prime (123331207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278179 + ... + 278621.

Almost surely, 2^123331200 is an apocalyptic number.

123331200 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 123331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210589200).

123331200 is an abundant number, since it is smaller than the sum of its proper divisors (297847200).

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

123331200 is a wasteful number, since it uses less digits than its factorization.

123331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123331200 is about 11105.4581175204. The cubic root of 123331200 is about 497.7649573890.

Adding to 123331200 its reverse (2133321), we get a palindrome (125464521).

The spelling of 123331200 in words is "one hundred twenty-three million, three hundred thirty-one thousand, two hundred".