221123320032 has 96 divisors (see below), whose sum is σ = 586688350752. Its totient is φ = 72916107264.

The previous prime is 221123320027. The next prime is 221123320043. The reversal of 221123320032 is 230023321122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 221123319990 and 221123320008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31964638 + ... + 31971554.

It is an arithmetic number, because the mean of its divisors is an integer number (6111336987).

Almost surely, 2^221123320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221123320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293344175376).

221123320032 is an abundant number, since it is smaller than the sum of its proper divisors (365565030720).

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

221123320032 is a wasteful number, since it uses less digits than its factorization.

221123320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221123320032 its reverse (230023321122), we get a palindrome (451146641154).

The spelling of 221123320032 in words is "two hundred twenty-one billion, one hundred twenty-three million, three hundred twenty thousand, thirty-two".