4123200 has 84 divisors (see below), whose sum is σ = 13543280. Its totient is φ = 1098240.

The previous prime is 4123199. The next prime is 4123201. The reversal of 4123200 is 23214.

4123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4123199) and next prime (4123201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4123201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4371 + ... + 5229.

Almost surely, 2^4123200 is an apocalyptic number.

4123200 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 4123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771640).

4123200 is an abundant number, since it is smaller than the sum of its proper divisors (9420080).

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

4123200 is a wasteful number, since it uses less digits than its factorization.

4123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4123200 is about 2030.5664234395. The cubic root of 4123200 is about 160.3533855835.

Adding to 4123200 its reverse (23214), we get a palindrome (4146414).

The spelling of 4123200 in words is "four million, one hundred twenty-three thousand, two hundred".