4123200224 has 96 divisors (see below), whose sum is σ = 9607774176. Its totient is φ = 1717125120.

The previous prime is 4123200199. The next prime is 4123200259. The reversal of 4123200224 is 4220023214.

It is a junction number, because it is equal to n+sod(n) for n = 4123200196 and 4123200205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623624 + ... + 630200.

It is an arithmetic number, because the mean of its divisors is an integer number (100080981).

Almost surely, 2^4123200224 is an apocalyptic number.

4123200224 is a gapful number since it is divisible by the number (44) 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 4123200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803887088).

4123200224 is an abundant number, since it is smaller than the sum of its proper divisors (5484573952).

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

4123200224 is a wasteful number, since it uses less digits than its factorization.

4123200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4123200224 is about 64212.1501275265. The cubic root of 4123200224 is about 1603.5338848730.

Adding to 4123200224 its reverse (4220023214), we get a palindrome (8343223438).

The spelling of 4123200224 in words is "four billion, one hundred twenty-three million, two hundred thousand, two hundred twenty-four".