5121200 has 120 divisors (see below), whose sum is σ = 14760960. Its totient is φ = 1670400.

The previous prime is 5121191. The next prime is 5121209. The reversal of 5121200 is 21215.

It is an interprime number because it is at equal distance from previous prime (5121191) and next prime (5121209).

It is not an unprimeable number, because it can be changed into a prime (5121209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86771 + ... + 86829.

It is an arithmetic number, because the mean of its divisors is an integer number (123008).

Almost surely, 2^5121200 is an apocalyptic number.

5121200 is a gapful number since it is divisible by the number (50) 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 5121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380480).

5121200 is an abundant number, since it is smaller than the sum of its proper divisors (9639760).

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

5121200 is a wasteful number, since it uses less digits than its factorization.

5121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 5121200 is about 2263.0068493047. The cubic root of 5121200 is about 172.3682393675.

Adding to 5121200 its reverse (21215), we get a palindrome (5142415).

The spelling of 5121200 in words is "five million, one hundred twenty-one thousand, two hundred".