4124200 has 48 divisors (see below), whose sum is σ = 10161180. Its totient is φ = 1551360.

The previous prime is 4124191. The next prime is 4124207. The reversal of 4124200 is 24214.

It can be written as a sum of positive squares in 6 ways, for example, as 948676 + 3175524 = 974^2 + 1782^2 .

It is not an unprimeable number, because it can be changed into a prime (4124207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2794 + ... + 4006.

Almost surely, 2^4124200 is an apocalyptic number.

4124200 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 4124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080590).

4124200 is an abundant number, since it is smaller than the sum of its proper divisors (6036980).

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

4124200 is a wasteful number, since it uses less digits than its factorization.

4124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4124200 is about 2030.8126452236. The cubic root of 4124200 is about 160.3663480417.

Adding to 4124200 its reverse (24214), we get a palindrome (4148414).

The spelling of 4124200 in words is "four million, one hundred twenty-four thousand, two hundred".