20013222000320 has 112 divisors (see below), whose sum is σ = 50467409717760. Its totient is φ = 7533254344704.

The previous prime is 20013222000143. The next prime is 20013222000323. The reversal of 20013222000320 is 2300022231002.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (20013222000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36277592 + ... + 36825128.

It is an arithmetic number, because the mean of its divisors is an integer number (450601872480).

Almost surely, 2^{20013222000320} is an apocalyptic number.

20013222000320 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 20013222000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233704858880).

20013222000320 is an abundant number, since it is smaller than the sum of its proper divisors (30454187717440).

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

20013222000320 is a wasteful number, since it uses less digits than its factorization.

20013222000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554290 (or 554280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20013222000320 its reverse (2300022231002), we get a palindrome (22313244231322).

The spelling of 20013222000320 in words is "twenty trillion, thirteen billion, two hundred twenty-two million, three hundred twenty", and thus it is an aban number.