221244132321 has 20 divisors (see below), whose sum is σ = 330526310400. Its totient is φ = 147484566936.

The previous prime is 221244132311. The next prime is 221244132337. The reversal of 221244132321 is 123231442122.

221244132321 is a `hidden beast` number, since 2 + 2 + 12 + 4 + 413 + 232 + 1 = 666.

221244132321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221244132321 - 2⁹ = 221244131809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221244132311) 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 19 ways as a sum of consecutive naturals, for example, 1008160 + ... + 1207838.

It is an arithmetic number, because the mean of its divisors is an integer number (16526315520).

Almost surely, 2^221244132321 is an apocalyptic number.

It is an amenable number.

221244132321 is a deficient number, since it is larger than the sum of its proper divisors (109282178079).

221244132321 is a wasteful number, since it uses less digits than its factorization.

221244132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213370 (or 213361 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 221244132321 its reverse (123231442122), we get a palindrome (344475574443).

The spelling of 221244132321 in words is "two hundred twenty-one billion, two hundred forty-four million, one hundred thirty-two thousand, three hundred twenty-one".