221230321200 has 240 divisors, whose sum is σ = 899904386560. Its totient is φ = 50566913280.

The previous prime is 221230321177. The next prime is 221230321201. The reversal of 221230321200 is 2123032122.

221230321200 is a `hidden beast` number, since 22 + 123 + 0 + 321 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221230321201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1387564 + ... + 1538763.

Almost surely, 2^221230321200 is an apocalyptic number.

221230321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230321200 is an abundant number, since it is smaller than the sum of its proper divisors (678674065360).

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

221230321200 is a wasteful number, since it uses less digits than its factorization.

221230321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926361 (or 2926344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221230321200 its reverse (2123032122), we get a palindrome (223353353322).

The spelling of 221230321200 in words is "two hundred twenty-one billion, two hundred thirty million, three hundred twenty-one thousand, two hundred".