1191120 has 80 divisors (see below), whose sum is σ = 4225920. Its totient is φ = 271872.

The previous prime is 1191119. The next prime is 1191131. The reversal of 1191120 is 211911.

It is a tau number, because it is divible by the number of its divisors (80).

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 1191120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326 + ... + 2034.

It is an arithmetic number, because the mean of its divisors is an integer number (52824).

2^1191120 is an apocalyptic number.

1191120 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 1191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112960).

1191120 is an abundant number, since it is smaller than the sum of its proper divisors (3034800).

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

1191120 is a wasteful number, since it uses less digits than its factorization.

1191120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 1191120 is about 1091.3844418902. The cubic root of 1191120 is about 106.0030852312.

The spelling of 1191120 in words is "one million, one hundred ninety-one thousand, one hundred twenty".