1132120 has 64 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 393600.

The previous prime is 1132091. The next prime is 1132123. The reversal of 1132120 is 212311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1132097 and 1132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132123) 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, 13599 + ... + 13681.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2^1132120 is an apocalyptic number.

1132120 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 1132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

1132120 is an abundant number, since it is smaller than the sum of its proper divisors (1770920).

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

1132120 is a wasteful number, since it uses less digits than its factorization.

1132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1132120 is about 1064.0112781357. The cubic root of 1132120 is about 104.2231402220.

Adding to 1132120 its reverse (212311), we get a palindrome (1344431).

It can be divided in two parts, 11 and 32120, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 1132120 in words is "one million, one hundred thirty-two thousand, one hundred twenty".