20321122320 has 320 divisors, whose sum is σ = 72190736640. Its totient is φ = 5251018752.

The previous prime is 20321122267. The next prime is 20321122337. The reversal of 20321122320 is 2322112302.

20321122320 is a `hidden beast` number, since 2 + 0 + 321 + 1 + 22 + 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 = 20321122293 and 20321122302.

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 63 ways as a sum of consecutive naturals, for example, 12723762 + ... + 12725358.

It is an arithmetic number, because the mean of its divisors is an integer number (225596052).

Almost surely, 2^20321122320 is an apocalyptic number.

20321122320 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 20321122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36095368320).

20321122320 is an abundant number, since it is smaller than the sum of its proper divisors (51869614320).

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

20321122320 is a wasteful number, since it uses less digits than its factorization.

20321122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1787 counting only the distinct ones).

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

Adding to 20321122320 its reverse (2322112302), we get a palindrome (22643234622).

The spelling of 20321122320 in words is "twenty billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".