221341013200 has 240 divisors, whose sum is σ = 577747111104. Its totient is φ = 81180057600.

The previous prime is 221341013099. The next prime is 221341013213. The reversal of 221341013200 is 2310143122.

It is a happy number.

221341013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44381107 + ... + 44386093.

Almost surely, 2^221341013200 is an apocalyptic number.

221341013200 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 221341013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288873555552).

221341013200 is an abundant number, since it is smaller than the sum of its proper divisors (356406097904).

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

221341013200 is a wasteful number, since it uses less digits than its factorization.

221341013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 221341013200 its reverse (2310143122), we get a palindrome (223651156322).

The spelling of 221341013200 in words is "two hundred twenty-one billion, three hundred forty-one million, thirteen thousand, two hundred".