2223321120 has 144 divisors (see below), whose sum is σ = 7792326360. Its totient is φ = 576847872.

The previous prime is 2223321109. The next prime is 2223321167. The reversal of 2223321120 is 211233222.

2223321120 is a `hidden beast` number, since 2 + 223 + 321 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1685266704 + 538054416 = 41052^2 + 23196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2223321093 and 2223321102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32416 + ... + 74144.

Almost surely, 2^2223321120 is an apocalyptic number.

2223321120 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 2223321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896163180).

2223321120 is an abundant number, since it is smaller than the sum of its proper divisors (5569005240).

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

2223321120 is a wasteful number, since it uses less digits than its factorization.

2223321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41787 (or 41776 counting only the distinct ones).

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

The square root of 2223321120 is about 47152.1062095852. The cubic root of 2223321120 is about 1305.1709469107.

Adding to 2223321120 its reverse (211233222), we get a palindrome (2434554342).

The spelling of 2223321120 in words is "two billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".