1185120 has 72 divisors (see below), whose sum is σ = 4049136. Its totient is φ = 315648.

The previous prime is 1185113. The next prime is 1185127. The reversal of 1185120 is 215811.

It is an interprime number because it is at equal distance from previous prime (1185113) and next prime (1185127).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1185093 and 1185102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1185127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (56238).

2^1185120 is an apocalyptic number.

1185120 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 1185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024568).

1185120 is an abundant number, since it is smaller than the sum of its proper divisors (2864016).

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

1185120 is a wasteful number, since it uses less digits than its factorization.

1185120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1185120 is about 1088.6321692840. The cubic root of 1185120 is about 105.8247966055.

The spelling of 1185120 in words is "one million, one hundred eighty-five thousand, one hundred twenty".