20122321320 has 640 divisors, whose sum is σ = 74815345440. Its totient is φ = 4830658560.

The previous prime is 20122321319. The next prime is 20122321327. The reversal of 20122321320 is 2312322102.

20122321320 is a `hidden beast` number, since 2 + 0 + 1 + 22 + 321 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 39463524 + 20082857796 = 6282^2 + 141714^2 .

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 = 20122321293 and 20122321302.

It is not an unprimeable number, because it can be changed into a prime (20122321327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 178073584 + ... + 178073696.

Almost surely, 2^20122321320 is an apocalyptic number.

20122321320 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 20122321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37407672720).

20122321320 is an abundant number, since it is smaller than the sum of its proper divisors (54693024120).

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

20122321320 is a wasteful number, since it uses less digits than its factorization.

20122321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

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

Adding to 20122321320 its reverse (2312322102), we get a palindrome (22434643422).

The spelling of 20122321320 in words is "twenty billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty".