201201122120 has 16 divisors (see below), whose sum is σ = 452702524860. Its totient is φ = 80480448832.

The previous prime is 201201122071. The next prime is 201201122147. The reversal of 201201122120 is 21221102102.

201201122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 181610640964 + 19590481156 = 426158^2 + 139966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201201122095 and 201201122104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2515013987 + ... + 2515014066.

Almost surely, 2^201201122120 is an apocalyptic number.

201201122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201122120 is an abundant number, since it is smaller than the sum of its proper divisors (251501402740).

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

201201122120 is a wasteful number, since it uses less digits than its factorization.

201201122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030028064 (or 5030028060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201201122120 its reverse (21221102102), we get a palindrome (222422224222).

The spelling of 201201122120 in words is "two hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".