123300320 has 192 divisors, whose sum is σ = 363496896. Its totient is φ = 38830080.

The previous prime is 123300311. The next prime is 123300323. The reversal of 123300320 is 23003321.

It is a super-3 number, since 3×123300320³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123300295 and 123300304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388802 + ... + 389118.

It is an arithmetic number, because the mean of its divisors is an integer number (1893213).

Almost surely, 2^123300320 is an apocalyptic number.

123300320 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 123300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181748448).

123300320 is an abundant number, since it is smaller than the sum of its proper divisors (240196576).

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

123300320 is a wasteful number, since it uses less digits than its factorization.

123300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 123300320 is about 11104.0677231364. The cubic root of 123300320 is about 497.7234100084.

Adding to 123300320 its reverse (23003321), we get a palindrome (146303641).

The spelling of 123300320 in words is "one hundred twenty-three million, three hundred thousand, three hundred twenty".