12221230320 has 640 divisors, whose sum is σ = 47996928000. Its totient is φ = 2835689472.

The previous prime is 12221230291. The next prime is 12221230339. The reversal of 12221230320 is 2303212221.

12221230320 is a `hidden beast` number, since 1 + 222 + 123 + 0 + 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 = 12221230293 and 12221230302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82021606 + ... + 82021754.

It is an arithmetic number, because the mean of its divisors is an integer number (74995200).

Almost surely, 2^12221230320 is an apocalyptic number.

12221230320 is a gapful number since it is divisible by the number (10) 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 12221230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464000).

12221230320 is an abundant number, since it is smaller than the sum of its proper divisors (35775697680).

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

12221230320 is a wasteful number, since it uses less digits than its factorization.

12221230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

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

Adding to 12221230320 its reverse (2303212221), we get a palindrome (14524442541).

The spelling of 12221230320 in words is "twelve billion, two hundred twenty-one million, two hundred thirty thousand, three hundred twenty".