11571120 has 160 divisors (see below), whose sum is σ = 43568640. Its totient is φ = 2799360.

The previous prime is 11571107. The next prime is 11571163. The reversal of 11571120 is 2117511.

It is a happy number.

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 = 11571093 and 11571102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23517 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (272304).

Almost surely, 2^11571120 is an apocalyptic number.

11571120 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 11571120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784320).

11571120 is an abundant number, since it is smaller than the sum of its proper divisors (31997520).

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

11571120 is a wasteful number, since it uses less digits than its factorization.

11571120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11571120 is about 3401.6349010439. The cubic root of 11571120 is about 226.1822217944.

Adding to 11571120 its reverse (2117511), we get a palindrome (13688631).

The spelling of 11571120 in words is "eleven million, five hundred seventy-one thousand, one hundred twenty".