221234431200 has 144 divisors (see below), whose sum is σ = 721697402160. Its totient is φ = 58866462720.

The previous prime is 221234431177. The next prime is 221234431219. The reversal of 221234431200 is 2134432122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995946 + ... + 1197654.

It is an arithmetic number, because the mean of its divisors is an integer number (5011787515).

Almost surely, 2^221234431200 is an apocalyptic number.

221234431200 is a gapful number since it is divisible by the number (20) 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 221234431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360848701080).

221234431200 is an abundant number, since it is smaller than the sum of its proper divisors (500462970960).

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

221234431200 is a wasteful number, since it uses less digits than its factorization.

221234431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202189 (or 202176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221234431200 its reverse (2134432122), we get a palindrome (223368863322).

The spelling of 221234431200 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred thirty-one thousand, two hundred".