221330311222320 has 80 divisors (see below), whose sum is σ = 762359960884320. Its totient is φ = 59021416325376.

The previous prime is 221330311222303. The next prime is 221330311222333. The reversal of 221330311222320 is 23222113033122.

221330311222320 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 0 + 311 + 2 + 22 + 320 = 666.

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

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51233866179 + ... + 51233870498.

It is an arithmetic number, because the mean of its divisors is an integer number (9529499511054).

Almost surely, 2^{221330311222320} is an apocalyptic number.

221330311222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221330311222320 is an abundant number, since it is smaller than the sum of its proper divisors (541029649662000).

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

221330311222320 is a wasteful number, since it uses less digits than its factorization.

221330311222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102467736699 (or 102467736687 counting only the distinct ones).

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

Adding to 221330311222320 its reverse (23222113033122), we get a palindrome (244552424255442).

The spelling of 221330311222320 in words is "two hundred twenty-one trillion, three hundred thirty billion, three hundred eleven million, two hundred twenty-two thousand, three hundred twenty".