123032224 has 48 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 52233984.

The previous prime is 123032219. The next prime is 123032251. The reversal of 123032224 is 422230321.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21897 + ... + 26935.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2^123032224 is an apocalyptic number.

123032224 is a gapful number since it is divisible by the number (14) 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 123032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139708800).

123032224 is an abundant number, since it is smaller than the sum of its proper divisors (156385376).

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

123032224 is a wasteful number, since it uses less digits than its factorization.

123032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 123032224 is about 11091.9891813867. The cubic root of 123032224 is about 497.3624093638.

Adding to 123032224 its reverse (422230321), we get a palindrome (545262545).

It can be divided in two parts, 123032 and 224, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 123032224 in words is "one hundred twenty-three million, thirty-two thousand, two hundred twenty-four".