201135120 has 40 divisors (see below), whose sum is σ = 623519616. Its totient is φ = 53635968.

The previous prime is 201135091. The next prime is 201135133. The reversal of 201135120 is 21531102.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201135120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418792 + ... + 419271.

Almost surely, 2^201135120 is an apocalyptic number.

201135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201135120 is an abundant number, since it is smaller than the sum of its proper divisors (422384496).

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

201135120 is a wasteful number, since it uses less digits than its factorization.

201135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838079 (or 838073 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 201135120 is about 14182.2113931502. The cubic root of 201135120 is about 585.9078314507.

Adding to 201135120 its reverse (21531102), we get a palindrome (222666222).

The spelling of 201135120 in words is "two hundred one million, one hundred thirty-five thousand, one hundred twenty".