220312320000 has 240 divisors, whose sum is σ = 733972959720. Its totient is φ = 58748928000.

The previous prime is 220312319993. The next prime is 220312320001. The reversal of 220312320000 is 23213022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220312320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3811314 + ... + 3868686.

Almost surely, 2^220312320000 is an apocalyptic number.

220312320000 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 220312320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366986479860).

220312320000 is an abundant number, since it is smaller than the sum of its proper divisors (513660639720).

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

220312320000 is an frugal number, since it uses more digits than its factorization.

220312320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57418 (or 57383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 220312320000 its reverse (23213022), we get a palindrome (220335533022).

The spelling of 220312320000 in words is "two hundred twenty billion, three hundred twelve million, three hundred twenty thousand".