123612324 has 48 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 36749440.

The previous prime is 123612311. The next prime is 123612329. The reversal of 123612324 is 423216321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123612294 and 123612303.

It is not an unprimeable number, because it can be changed into a prime (123612329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839 + ... + 15830.

It is an arithmetic number, because the mean of its divisors is an integer number (6679260).

Almost surely, 2^123612324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123612324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

123612324 is an abundant number, since it is smaller than the sum of its proper divisors (196992156).

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

123612324 is a wasteful number, since it uses less digits than its factorization.

123612324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17740 (or 17738 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 123612324 is about 11118.1079325576. The cubic root of 123612324 is about 498.1428760547.

Adding to 123612324 its reverse (423216321), we get a palindrome (546828645).

The spelling of 123612324 in words is "one hundred twenty-three million, six hundred twelve thousand, three hundred twenty-four".