201045120 has 64 divisors (see below), whose sum is σ = 640837440. Its totient is φ = 53611520.

The previous prime is 201045113. The next prime is 201045209. The reversal of 201045120 is 21540102.

It is a tau number, because it is divible by the number of its divisors (64).

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 201045120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50436 + ... + 54275.

It is an arithmetic number, because the mean of its divisors is an integer number (10013085).

Almost surely, 2^201045120 is an apocalyptic number.

201045120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201045120 is an abundant number, since it is smaller than the sum of its proper divisors (439792320).

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

201045120 is a wasteful number, since it uses less digits than its factorization.

201045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104733 (or 104721 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 201045120 is about 14179.0380491767. The cubic root of 201045120 is about 585.8204282299.

Adding to 201045120 its reverse (21540102), we get a palindrome (222585222).

The spelling of 201045120 in words is "two hundred one million, forty-five thousand, one hundred twenty".