221222024320 has 128 divisors (see below), whose sum is σ = 590354930880. Its totient is φ = 78573465600.

The previous prime is 221222024299. The next prime is 221222024321. The reversal of 221222024320 is 23420222122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221222024291 and 221222024300.

It is not an unprimeable number, because it can be changed into a prime (221222024321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62671 + ... + 668110.

Almost surely, 2^221222024320 is an apocalyptic number.

221222024320 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 221222024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295177465440).

221222024320 is an abundant number, since it is smaller than the sum of its proper divisors (369132906560).

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

221222024320 is a wasteful number, since it uses less digits than its factorization.

221222024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730854 (or 730842 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 221222024320 its reverse (23420222122), we get a palindrome (244642246442).

The spelling of 221222024320 in words is "two hundred twenty-one billion, two hundred twenty-two million, twenty-four thousand, three hundred twenty".