223221003120 has 480 divisors, whose sum is σ = 809863790400. Its totient is φ = 56490670080.

The previous prime is 223221003079. The next prime is 223221003133. The reversal of 223221003120 is 21300122322.

223221003120 is a `hidden beast` number, since 22 + 322 + 10 + 0 + 312 + 0 = 666.

It is a super-3 number, since 3×223221003120³ (a number of 35 digits) contains 333 as substring.

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 = 223221003093 and 223221003102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110014266 + ... + 110016294.

It is an arithmetic number, because the mean of its divisors is an integer number (1687216230).

Almost surely, 2^223221003120 is an apocalyptic number.

223221003120 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 223221003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404931895200).

223221003120 is an abundant number, since it is smaller than the sum of its proper divisors (586642787280).

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

223221003120 is a wasteful number, since it uses less digits than its factorization.

223221003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223221003120 its reverse (21300122322), we get a palindrome (244521125442).

The spelling of 223221003120 in words is "two hundred twenty-three billion, two hundred twenty-one million, three thousand, one hundred twenty".