9201120 has 96 divisors (see below), whose sum is σ = 30028320. Its totient is φ = 2365440.

The previous prime is 9201119. The next prime is 9201121. The reversal of 9201120 is 211029.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9201119) and next prime (9201121).

It is a tau number, because it is divible by the number of its divisors (96).

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 9201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13590 + ... + 14250.

It is an arithmetic number, because the mean of its divisors is an integer number (312795).

Almost surely, 2^9201120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014160).

9201120 is an abundant number, since it is smaller than the sum of its proper divisors (20827200).

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

9201120 is a wasteful number, since it uses less digits than its factorization.

9201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 9201120 is about 3033.3347985344. The cubic root of 9201120 is about 209.5464132770.

Adding to 9201120 its reverse (211029), we get a palindrome (9412149).

The spelling of 9201120 in words is "nine million, two hundred one thousand, one hundred twenty".