221321002320 has 160 divisors (see below), whose sum is σ = 831630522240. Its totient is φ = 53653570560.

The previous prime is 221321002289. The next prime is 221321002327. The reversal of 221321002320 is 23200123122.

221321002320 is a `hidden beast` number, since 2 + 21 + 321 + 0 + 0 + 2 + 320 = 666.

221321002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221321002293 and 221321002302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221321002327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4633669 + ... + 4681188.

It is an arithmetic number, because the mean of its divisors is an integer number (5197690764).

Almost surely, 2^221321002320 is an apocalyptic number.

221321002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221321002320 is an abundant number, since it is smaller than the sum of its proper divisors (610309519920).

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

221321002320 is a wasteful number, since it uses less digits than its factorization.

221321002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314890 (or 9314878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221321002320 its reverse (23200123122), we get a palindrome (244521125442).

The spelling of 221321002320 in words is "two hundred twenty-one billion, three hundred twenty-one million, two thousand, three hundred twenty".