20302122320000 has 160 divisors (see below), whose sum is σ = 50548343102400. Its totient is φ = 8119647360000.

The previous prime is 20302122319937. The next prime is 20302122320069. The reversal of 20302122320000 is 2322120302.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 707105645 + ... + 707134355.

It is an arithmetic number, because the mean of its divisors is an integer number (315927144390).

Almost surely, 2^{20302122320000} is an apocalyptic number.

20302122320000 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 20302122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25274171551200).

20302122320000 is an abundant number, since it is smaller than the sum of its proper divisors (30246220782400).

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

20302122320000 is an frugal number, since it uses more digits than its factorization.

20302122320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37584 (or 37557 counting only the distinct ones).

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

Adding to 20302122320000 its reverse (2322120302), we get a palindrome (20304444440302).

The spelling of 20302122320000 in words is "twenty trillion, three hundred two billion, one hundred twenty-two million, three hundred twenty thousand".