20201221120 has 88 divisors (see below), whose sum is σ = 49586757264. Its totient is φ = 7892484096.

The previous prime is 20201221093. The next prime is 20201221171. The reversal of 20201221120 is 2112210202.

It is a happy number.

It is a super-3 number, since 3×20201221120³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20201221120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174282 + ... + 266038.

It is an arithmetic number, because the mean of its divisors is an integer number (563485878).

Almost surely, 2^20201221120 is an apocalyptic number.

20201221120 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 20201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24793378632).

20201221120 is an abundant number, since it is smaller than the sum of its proper divisors (29385536144).

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

20201221120 is an equidigital number, since it uses as much as digits as its factorization.

20201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91825 (or 91807 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20201221120 its reverse (2112210202), we get a palindrome (22313431322).

The spelling of 20201221120 in words is "twenty billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".