123324120 has 160 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 30938112.

The previous prime is 123324073. The next prime is 123324121. The reversal of 123324120 is 21423321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123324093 and 123324102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123324121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53961 + ... + 56199.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^123324120 is an apocalyptic number.

123324120 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 123324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

123324120 is an abundant number, since it is smaller than the sum of its proper divisors (315760680).

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

123324120 is a wasteful number, since it uses less digits than its factorization.

123324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123324120 is about 11105.1393507691. The cubic root of 123324120 is about 497.7554322423.

Adding to 123324120 its reverse (21423321), we get a palindrome (144747441).

The spelling of 123324120 in words is "one hundred twenty-three million, three hundred twenty-four thousand, one hundred twenty".