2221123320 has 384 divisors, whose sum is σ = 8126576640. Its totient is φ = 522547200.

The previous prime is 2221123301. The next prime is 2221123327. The reversal of 2221123320 is 233211222.

2221123320 is a `hidden beast` number, since 2 + 221 + 123 + 320 = 666.

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 = 2221123293 and 2221123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221123327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17489097 + ... + 17489223.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^2221123320 is an apocalyptic number.

2221123320 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 2221123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063288320).

2221123320 is an abundant number, since it is smaller than the sum of its proper divisors (5905453320).

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

2221123320 is a wasteful number, since it uses less digits than its factorization.

2221123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

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

The square root of 2221123320 is about 47128.7950196056. The cubic root of 2221123320 is about 1304.7407420858.

Adding to 2221123320 its reverse (233211222), we get a palindrome (2454334542).

The spelling of 2221123320 in words is "two billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty".