16221200 has 60 divisors (see below), whose sum is σ = 39439440. Its totient is φ = 6410880.

The previous prime is 16221197. The next prime is 16221203. The reversal of 16221200 is 212261.

It is an interprime number because it is at equal distance from previous prime (16221197) and next prime (16221203).

It is not an unprimeable number, because it can be changed into a prime (16221203) 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, 42611 + ... + 42989.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^16221200 is an apocalyptic number.

16221200 is a gapful number since it is divisible by the number (10) 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 16221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719720).

16221200 is an abundant number, since it is smaller than the sum of its proper divisors (23218240).

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

16221200 is a wasteful number, since it uses less digits than its factorization.

16221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 16221200 is about 4027.5550896294. Note that the first 3 decimals coincide. The cubic root of 16221200 is about 253.1401266172.

Adding to 16221200 its reverse (212261), we get a palindrome (16433461).

The spelling of 16221200 in words is "sixteen million, two hundred twenty-one thousand, two hundred".