4125200 has 30 divisors (see below), whose sum is σ = 9911754. Its totient is φ = 1649920.

The previous prime is 4125181. The next prime is 4125229. The reversal of 4125200 is 25214.

4125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 3952144 = 416^2 + 1988^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4757 + ... + 5556.

Almost surely, 2^4125200 is an apocalyptic number.

4125200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4125200 is an abundant number, since it is smaller than the sum of its proper divisors (5786554).

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

4125200 is a wasteful number, since it uses less digits than its factorization.

4125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4125200 is about 2031.0588371586. The cubic root of 4125200 is about 160.3793084048.

Adding to 4125200 its sum of digits (14), we get a palindrome (4125214).

The spelling of 4125200 in words is "four million, one hundred twenty-five thousand, two hundred".