20221300120320 has 432 divisors, whose sum is σ = 75421535821632. Its totient is φ = 4972521553920.

The previous prime is 20221300120313. The next prime is 20221300120349. The reversal of 20221300120320 is 2302100312202.

20221300120320 is a `hidden beast` number, since 2 + 0 + 2 + 21 + 300 + 1 + 20 + 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 = 20221300120293 and 20221300120302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149243005 + ... + 149378435.

It is an arithmetic number, because the mean of its divisors is an integer number (174586888476).

Almost surely, 2^{20221300120320} is an apocalyptic number.

20221300120320 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 20221300120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37710767910816).

20221300120320 is an abundant number, since it is smaller than the sum of its proper divisors (55200235701312).

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

20221300120320 is a wasteful number, since it uses less digits than its factorization.

20221300120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136468 (or 136451 counting only the distinct ones).

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

Adding to 20221300120320 its reverse (2302100312202), we get a palindrome (22523400432522).

The spelling of 20221300120320 in words is "twenty trillion, two hundred twenty-one billion, three hundred million, one hundred twenty thousand, three hundred twenty".