201211121120 has 48 divisors (see below), whose sum is σ = 486955466928. Its totient is φ = 78521410560.

The previous prime is 201211121113. The next prime is 201211121123. The reversal of 201211121120 is 21121112102.

201211121120 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 = 201211121095 and 201211121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211121123) 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, 15329654 + ... + 15342773.

It is an arithmetic number, because the mean of its divisors is an integer number (10144905561).

Almost surely, 2^201211121120 is an apocalyptic number.

201211121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211121120 is an abundant number, since it is smaller than the sum of its proper divisors (285744345808).

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

201211121120 is a wasteful number, since it uses less digits than its factorization.

201211121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30672483 (or 30672475 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201211121120 its reverse (21121112102), we get a palindrome (222332233222).

The spelling of 201211121120 in words is "two hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".