1129120 has 24 divisors (see below), whose sum is σ = 2667924. Its totient is φ = 451584.

The previous prime is 1129111. The next prime is 1129127. The reversal of 1129120 is 219211.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 104976 = 1012^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1129094 and 1129103.

It is not an unprimeable number, because it can be changed into a prime (1129127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3369 + ... + 3688.

2^1129120 is an apocalyptic number.

1129120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1129120 is an abundant number, since it is smaller than the sum of its proper divisors (1538804).

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

1129120 is an equidigital number, since it uses as much as digits as its factorization.

1129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1129120 is about 1062.6005834743. The cubic root of 1129120 is about 104.1309986326.

Subtracting from 1129120 its reverse (219211), we obtain a palindrome (909909).

It can be divided in two parts, 11291 and 20, that added together give a palindrome (11311).

The spelling of 1129120 in words is "one million, one hundred twenty-nine thousand, one hundred twenty".