2220320013000 has 256 divisors, whose sum is σ = 7150448448000. Its totient is φ = 573182438400.

The previous prime is 2220320012971. The next prime is 2220320013011. The reversal of 2220320013000 is 3100230222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22038742 + ... + 22139258.

It is an arithmetic number, because the mean of its divisors is an integer number (27931439250).

Almost surely, 2^{2220320013000} is an apocalyptic number.

2220320013000 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 2220320013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575224224000).

2220320013000 is an abundant number, since it is smaller than the sum of its proper divisors (4930128435000).

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

2220320013000 is a wasteful number, since it uses less digits than its factorization.

2220320013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100777 (or 100763 counting only the distinct ones).

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

Adding to 2220320013000 its reverse (3100230222), we get a palindrome (2223420243222).

The spelling of 2220320013000 in words is "two trillion, two hundred twenty billion, three hundred twenty million, thirteen thousand".