221221301200 has 30 divisors (see below), whose sum is σ = 531484177094. Its totient is φ = 88488520320.

The previous prime is 221221301113. The next prime is 221221301227. The reversal of 221221301200 is 2103122122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 708411456 + 220512889744 = 26616^2 + 469588^2 .

It is a super-2 number, since 2×221221301200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 276526227 + ... + 276527026.

Almost surely, 2^221221301200 is an apocalyptic number.

221221301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221301200 is an abundant number, since it is smaller than the sum of its proper divisors (310262875894).

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

221221301200 is a wasteful number, since it uses less digits than its factorization.

221221301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553053271 (or 553053260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221221301200 its reverse (2103122122), we get a palindrome (223324423322).

The spelling of 221221301200 in words is "two hundred twenty-one billion, two hundred twenty-one million, three hundred one thousand, two hundred".