6123200 has 84 divisors (see below), whose sum is σ = 15590520. Its totient is φ = 2365440.

The previous prime is 6123199. The next prime is 6123203. The reversal of 6123200 is 23216.

It is not an unprimeable number, because it can be changed into a prime (6123203) 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, 68756 + ... + 68844.

Almost surely, 2^6123200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795260).

6123200 is an abundant number, since it is smaller than the sum of its proper divisors (9467320).

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

6123200 is a wasteful number, since it uses less digits than its factorization.

6123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6123200 is about 2474.5100525154. The cubic root of 6123200 is about 182.9473606151.

Adding to 6123200 its reverse (23216), we get a palindrome (6146416).

The spelling of 6123200 in words is "six million, one hundred twenty-three thousand, two hundred".