11139120 has 140 divisors (see below), whose sum is σ = 39033216. Its totient is φ = 2954880.

The previous prime is 11139113. The next prime is 11139127. The reversal of 11139120 is 2193111.

It is an interprime number because it is at equal distance from previous prime (11139113) and next prime (11139127).

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 = 11139093 and 11139102.

It is not an unprimeable number, because it can be changed into a prime (11139127) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 58225 + ... + 58415.

Almost surely, 2^11139120 is an apocalyptic number.

11139120 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 11139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19516608).

11139120 is an abundant number, since it is smaller than the sum of its proper divisors (27894096).

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

11139120 is an equidigital number, since it uses as much as digits as its factorization.

11139120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11139120 is about 3337.5320223183. The cubic root of 11139120 is about 223.3316600949.

The spelling of 11139120 in words is "eleven million, one hundred thirty-nine thousand, one hundred twenty".