4123220200 has 144 divisors (see below), whose sum is σ = 10698690240. Its totient is φ = 1476393600.

The previous prime is 4123220197. The next prime is 4123220209. The reversal of 4123220200 is 20223214.

It is not an unprimeable number, because it can be changed into a prime (4123220209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1620129 + ... + 1622671.

It is an arithmetic number, because the mean of its divisors is an integer number (74296460).

Almost surely, 2^4123220200 is an apocalyptic number.

4123220200 is a gapful number since it is divisible by the number (40) 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 4123220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349345120).

4123220200 is an abundant number, since it is smaller than the sum of its proper divisors (6575470040).

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

4123220200 is a wasteful number, since it uses less digits than its factorization.

4123220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4123220200 is about 64212.3056742242. The cubic root of 4123220200 is about 1603.5364744587.

Adding to 4123220200 its reverse (20223214), we get a palindrome (4143443414).

The spelling of 4123220200 in words is "four billion, one hundred twenty-three million, two hundred twenty thousand, two hundred".