11120144 has 40 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 4652928.

The previous prime is 11120129. The next prime is 11120147. The reversal of 11120144 is 44102111.

11120144 = T₁₅₅ + T₁₅₆ + ... + T₄₁₂.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11120147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3662 + ... + 5970.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^11120144 is an apocalyptic number.

11120144 is a gapful number since it is divisible by the number (14) 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 11120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

11120144 is an abundant number, since it is smaller than the sum of its proper divisors (14086576).

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

11120144 is a wasteful number, since it uses less digits than its factorization.

11120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11120144 is about 3334.6879914019. The cubic root of 11120144 is about 223.2047694497.

Adding to 11120144 its reverse (44102111), we get a palindrome (55222255).

The spelling of 11120144 in words is "eleven million, one hundred twenty thousand, one hundred forty-four".