201121200320 has 56 divisors (see below), whose sum is σ = 486067967664. Its totient is φ = 79247748096.

The previous prime is 201121200311. The next prime is 201121200323. The reversal of 201121200320 is 23002121102.

It is a happy number.

201121200320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201121200295 and 201121200304.

It is not an unprimeable number, because it can be changed into a prime (201121200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4668887 + ... + 4711766.

Almost surely, 2^201121200320 is an apocalyptic number.

201121200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121200320 is an abundant number, since it is smaller than the sum of its proper divisors (284946767344).

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

201121200320 is an equidigital number, since it uses as much as digits as its factorization.

201121200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380737 (or 9380727 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201121200320 its reverse (23002121102), we get a palindrome (224123321422).

The spelling of 201121200320 in words is "two hundred one billion, one hundred twenty-one million, two hundred thousand, three hundred twenty".