4112200 has 48 divisors (see below), whose sum is σ = 9904500. Its totient is φ = 1585920.

The previous prime is 4112197. The next prime is 4112209. The reversal of 4112200 is 22114.

It can be written as a sum of positive squares in 6 ways, for example, as 777924 + 3334276 = 882^2 + 1826^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4112209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5446 + ... + 6154.

Almost surely, 2^4112200 is an apocalyptic number.

4112200 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 4112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952250).

4112200 is an abundant number, since it is smaller than the sum of its proper divisors (5792300).

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

4112200 is a wasteful number, since it uses less digits than its factorization.

4112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4112200 is about 2027.8560106674. The cubic root of 4112200 is about 160.2106600180.

Adding to 4112200 its reverse (22114), we get a palindrome (4134314).

The spelling of 4112200 in words is "four million, one hundred twelve thousand, two hundred".