201120 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 53504.

The previous prime is 201119. The next prime is 201121. The reversal of 201120 is 21102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201119) and next prime (201121).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 201099 and 201108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁰¹¹²⁰ is an apocalyptic number.

201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

201120 is an abundant number, since it is smaller than the sum of its proper divisors (433920).

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

201120 is a wasteful number, since it uses less digits than its factorization.

201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 201120 is about 448.4640453816. The cubic root of 201120 is about 58.5893149532.

Adding to 201120 its reverse (21102), we get a palindrome (222222).

The spelling of 201120 in words is "two hundred one thousand, one hundred twenty", and thus it is an iban number.