221221200 has 60 divisors (see below), whose sum is σ = 708649088. Its totient is φ = 58992000.

The previous prime is 221221127. The next prime is 221221213. The reversal of 221221200 is 2122122.

221221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90976 + ... + 93375.

Almost surely, 2^221221200 is an apocalyptic number.

221221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221200 is an abundant number, since it is smaller than the sum of its proper divisors (487427888).

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

221221200 is a wasteful number, since it uses less digits than its factorization.

221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184372 (or 184361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221221200 is about 14873.5066477277. The cubic root of 221221200 is about 604.7960061745.

Adding to 221221200 its reverse (2122122), we get a palindrome (223343322).

The spelling of 221221200 in words is "two hundred twenty-one million, two hundred twenty-one thousand, two hundred".