123820224 has 112 divisors (see below), whose sum is σ = 373075200. Its totient is φ = 35875840.

The previous prime is 123820223. The next prime is 123820253. The reversal of 123820224 is 422028321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123820194 and 123820203.

It is not an unprimeable number, because it can be changed into a prime (123820223) by changing a digit.

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, 47302 + ... + 49850.

Almost surely, 2^123820224 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 123820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

123820224 is an abundant number, since it is smaller than the sum of its proper divisors (249254976).

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

123820224 is a wasteful number, since it uses less digits than its factorization.

123820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 123820224 is about 11127.4536170680. The cubic root of 123820224 is about 498.4219903436.

Adding to 123820224 its reverse (422028321), we get a palindrome (545848545).

The spelling of 123820224 in words is "one hundred twenty-three million, eight hundred twenty thousand, two hundred twenty-four".