123144324 has 48 divisors (see below), whose sum is σ = 303609600. Its totient is φ = 38784256.

The previous prime is 123144319. The next prime is 123144383. The reversal of 123144324 is 423441321.

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 = 123144294 and 123144303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12592 + ... + 20120.

It is an arithmetic number, because the mean of its divisors is an integer number (6325200).

Almost surely, 2^123144324 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 123144324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151804800).

123144324 is an abundant number, since it is smaller than the sum of its proper divisors (180465276).

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

123144324 is a wasteful number, since it uses less digits than its factorization.

123144324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7610 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 123144324 is about 11097.0412272822. The cubic root of 123144324 is about 497.5134196695.

Adding to 123144324 its reverse (423441321), we get a palindrome (546585645).

The spelling of 123144324 in words is "one hundred twenty-three million, one hundred forty-four thousand, three hundred twenty-four".