123344032 has 96 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 49809408.

The previous prime is 123344003. The next prime is 123344063. The reversal of 123344032 is 230443321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123343994 and 123344012.

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, 458394 + ... + 458662.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^123344032 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 123344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

123344032 is an abundant number, since it is smaller than the sum of its proper divisors (170588768).

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

123344032 is a wasteful number, since it uses less digits than its factorization.

123344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 123344032 is about 11106.0358364270. The cubic root of 123344032 is about 497.7822201158.

Adding to 123344032 its reverse (230443321), we get a palindrome (353787353).

The spelling of 123344032 in words is "one hundred twenty-three million, three hundred forty-four thousand, thirty-two".