221220032992 has 96 divisors (see below), whose sum is σ = 522873792000. Its totient is φ = 90077526528.

The previous prime is 221220032939. The next prime is 221220032993. The reversal of 221220032992 is 299230022122.

221220032992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220032993) 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 15 ways as a sum of consecutive naturals, for example, 623559 + ... + 911737.

It is an arithmetic number, because the mean of its divisors is an integer number (5446602000).

Almost surely, 2^221220032992 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 221220032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261436896000).

221220032992 is an abundant number, since it is smaller than the sum of its proper divisors (301653759008).

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

221220032992 is a wasteful number, since it uses less digits than its factorization.

221220032992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288368 (or 288360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 221220032992 in words is "two hundred twenty-one billion, two hundred twenty million, thirty-two thousand, nine hundred ninety-two".