8121200 has 60 divisors (see below), whose sum is σ = 19835040. Its totient is φ = 3194880.

The previous prime is 8121199. The next prime is 8121209. The reversal of 8121200 is 21218.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121209) 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, 31472 + ... + 31728.

It is an arithmetic number, because the mean of its divisors is an integer number (330584).

Almost surely, 2^8121200 is an apocalyptic number.

8121200 is a gapful number since it is divisible by the number (80) 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 8121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917520).

8121200 is an abundant number, since it is smaller than the sum of its proper divisors (11713840).

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

8121200 is a wasteful number, since it uses less digits than its factorization.

8121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 8121200 is about 2849.7719206982. The cubic root of 8121200 is about 201.0049420004.

Adding to 8121200 its reverse (21218), we get a palindrome (8142418).

The spelling of 8121200 in words is "eight million, one hundred twenty-one thousand, two hundred".