201311120 has 40 divisors (see below), whose sum is σ = 468823416. Its totient is φ = 80391168.

The previous prime is 201311113. The next prime is 201311141. The reversal of 201311120 is 21113102.

It can be written as a sum of positive squares in 4 ways, for example, as 55771024 + 145540096 = 7468^2 + 12064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56924 + ... + 60356.

Almost surely, 2^201311120 is an apocalyptic number.

201311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201311120 is an abundant number, since it is smaller than the sum of its proper divisors (267512296).

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

201311120 is a wasteful number, since it uses less digits than its factorization.

201311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 201311120 is about 14188.4149925212. The cubic root of 201311120 is about 586.0786779861.

Adding to 201311120 its reverse (21113102), we get a palindrome (222424222).

The spelling of 201311120 in words is "two hundred one million, three hundred eleven thousand, one hundred twenty".