11008120 has 32 divisors (see below), whose sum is σ = 24948000. Its totient is φ = 4371328.

The previous prime is 11008117. The next prime is 11008147. The reversal of 11008120 is 2180011.

It is a self number, because there is not a number n which added to its sum of digits gives 11008120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5037 + ... + 6883.

It is an arithmetic number, because the mean of its divisors is an integer number (779625).

Almost surely, 2^11008120 is an apocalyptic number.

11008120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11008120 is an abundant number, since it is smaller than the sum of its proper divisors (13939880).

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

11008120 is a wasteful number, since it uses less digits than its factorization.

11008120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 11008120 is about 3317.8487005890. The cubic root of 11008120 is about 222.4527189861.

Adding to 11008120 its reverse (2180011), we get a palindrome (13188131).

The spelling of 11008120 in words is "eleven million, eight thousand, one hundred twenty".