221011323120 has 320 divisors, whose sum is σ = 898079662080. Its totient is φ = 48887193600.

The previous prime is 221011323067. The next prime is 221011323163. The reversal of 221011323120 is 21323110122.

221011323120 is a `hidden beast` number, since 2 + 210 + 11 + 323 + 120 = 666.

221011323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221011323093 and 221011323102.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 232960 + ... + 704480.

It is an arithmetic number, because the mean of its divisors is an integer number (2806498944).

Almost surely, 2^221011323120 is an apocalyptic number.

221011323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221011323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449039831040).

221011323120 is an abundant number, since it is smaller than the sum of its proper divisors (677068338960).

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

221011323120 is a wasteful number, since it uses less digits than its factorization.

221011323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471581 (or 471569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221011323120 its reverse (21323110122), we get a palindrome (242334433242).

The spelling of 221011323120 in words is "two hundred twenty-one billion, eleven million, three hundred twenty-three thousand, one hundred twenty".