1113120 has 72 divisors (see below), whose sum is σ = 3803436. Its totient is φ = 296448.

The previous prime is 1113103. The next prime is 1113137. The reversal of 1113120 is 213111.

It is an interprime number because it is at equal distance from previous prime (1113103) and next prime (1113137).

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 121104 = 996^2 + 348^2 .

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

It is a super-2 number, since 2×1113120² = 2478072268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1054 + ... + 1826.

2^1113120 is an apocalyptic number.

1113120 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 1113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901718).

1113120 is an abundant number, since it is smaller than the sum of its proper divisors (2690316).

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

1113120 is a wasteful number, since it uses less digits than its factorization.

1113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1113120 is about 1055.0450227360. The cubic root of 1113120 is about 103.6368001325.

Adding to 1113120 its reverse (213111), we get a palindrome (1326231).

Subtracting from 1113120 its reverse (213111), we obtain a palindrome (900009).

It can be divided in two parts, 11 and 13120, that added together give a palindrome (13131).

The spelling of 1113120 in words is "one million, one hundred thirteen thousand, one hundred twenty".