1125120 has 72 divisors (see below), whose sum is σ = 3605616. Its totient is φ = 299008.

The previous prime is 1125109. The next prime is 1125121. The reversal of 1125120 is 215211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1125096 and 1125105.

It is not an unprimeable number, because it can be changed into a prime (1125121) 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, 3694 + ... + 3986.

It is an arithmetic number, because the mean of its divisors is an integer number (50078).

2^1125120 is an apocalyptic number.

1125120 is a gapful number since it is divisible by the number (10) 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 1125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802808).

1125120 is an abundant number, since it is smaller than the sum of its proper divisors (2480496).

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

1125120 is an equidigital number, since it uses as much as digits as its factorization.

1125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1125120 is about 1060.7167388139. The cubic root of 1125120 is about 104.0078889479.

Subtracting from 1125120 its reverse (215211), we obtain a palindrome (909909).

The spelling of 1125120 in words is "one million, one hundred twenty-five thousand, one hundred twenty".