221221332120330 has 48 divisors (see below), whose sum is σ = 609009314311944. Its totient is φ = 55522216688640.

The previous prime is 221221332120329. The next prime is 221221332120367. The reversal of 221221332120330 is 33021233122122.

221221332120330 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 1 + 3 + 321 + 2 + 0 + 330 = 666.

221221332120330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 192229601066721 + 28991731053609 = 13864689^2 + 5384397^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221221332120294 and 221221332120303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72294551451 + ... + 72294554510.

Almost surely, 2^{221221332120330} is an apocalyptic number.

221221332120330 is an abundant number, since it is smaller than the sum of its proper divisors (387787982191614).

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

221221332120330 is a wasteful number, since it uses less digits than its factorization.

221221332120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144589105991 (or 144589105988 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221221332120330 its reverse (33021233122122), we get a palindrome (254242565242452).

The spelling of 221221332120330 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred thirty-two million, one hundred twenty thousand, three hundred thirty".