221330331120 has 80 divisors (see below), whose sum is σ = 686756044800. Its totient is φ = 58967054592.

The previous prime is 221330331083. The next prime is 221330331121. The reversal of 221330331120 is 21133033122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330331121) 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 15 ways as a sum of consecutive naturals, for example, 163320 + ... + 685079.

It is an arithmetic number, because the mean of its divisors is an integer number (8584450560).

Almost surely, 2^221330331120 is an apocalyptic number.

221330331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221330331120 is an abundant number, since it is smaller than the sum of its proper divisors (465425713680).

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

221330331120 is a wasteful number, since it uses less digits than its factorization.

221330331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849502 (or 849496 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 221330331120 its reverse (21133033122), we get a palindrome (242463364242).

The spelling of 221330331120 in words is "two hundred twenty-one billion, three hundred thirty million, three hundred thirty-one thousand, one hundred twenty".