20121322320 has 480 divisors, whose sum is σ = 76802584320. Its totient is φ = 4838169600.

The previous prime is 20121322307. The next prime is 20121322367. The reversal of 20121322320 is 2322312102.

20121322320 is a `hidden beast` number, since 2 + 0 + 1 + 21 + 322 + 320 = 666.

It is a super-2 number, since 2×20121322320² (a number of 21 digits) contains 22 as substring.

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 = 20121322293 and 20121322302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43646890 + ... + 43647350.

It is an arithmetic number, because the mean of its divisors is an integer number (160005384).

Almost surely, 2^20121322320 is an apocalyptic number.

20121322320 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 20121322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38401292160).

20121322320 is an abundant number, since it is smaller than the sum of its proper divisors (56681262000).

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

20121322320 is a wasteful number, since it uses less digits than its factorization.

20121322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

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

Adding to 20121322320 its reverse (2322312102), we get a palindrome (22443634422).

The spelling of 20121322320 in words is "twenty billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty".