221340331200 has 168 divisors, whose sum is σ = 727679552512. Its totient is φ = 58902266880.

The previous prime is 221340331169. The next prime is 221340331207. The reversal of 221340331200 is 2133043122.

It is not an unprimeable number, because it can be changed into a prime (221340331207) 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 23 ways as a sum of consecutive naturals, for example, 2290257 + ... + 2384943.

Almost surely, 2^221340331200 is an apocalyptic number.

221340331200 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 221340331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363839776256).

221340331200 is an abundant number, since it is smaller than the sum of its proper divisors (506339221312).

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

221340331200 is a wasteful number, since it uses less digits than its factorization.

221340331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95199 (or 95184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221340331200 its reverse (2133043122), we get a palindrome (223473374322).

The spelling of 221340331200 in words is "two hundred twenty-one billion, three hundred forty million, three hundred thirty-one thousand, two hundred".