123000224 has 48 divisors (see below), whose sum is σ = 257554080. Its totient is φ = 57657600.

The previous prime is 123000211. The next prime is 123000233. The reversal of 123000224 is 422000321.

It is a junction number, because it is equal to n+sod(n) for n = 123000199 and 123000208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60407 + ... + 62409.

It is an arithmetic number, because the mean of its divisors is an integer number (5365710).

Almost surely, 2^123000224 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 123000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128777040).

123000224 is an abundant number, since it is smaller than the sum of its proper divisors (134553856).

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

123000224 is a wasteful number, since it uses less digits than its factorization.

123000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 123000224 is about 11090.5466051047. The cubic root of 123000224 is about 497.3192852222.

Adding to 123000224 its reverse (422000321), we get a palindrome (545000545).

The spelling of 123000224 in words is "one hundred twenty-three million, two hundred twenty-four", and thus it is an aban number.