11512144 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 4561920.

The previous prime is 11512097. The next prime is 11512147. The reversal of 11512144 is 44121511.

11512144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11512147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105562 + ... + 105670.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^11512144 is an apocalyptic number.

11512144 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 11512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

11512144 is an abundant number, since it is smaller than the sum of its proper divisors (15986096).

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

11512144 is a wasteful number, since it uses less digits than its factorization.

11512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 11512144 is about 3392.9550542263. The cubic root of 11512144 is about 225.7972965136.

Adding to 11512144 its reverse (44121511), we get a palindrome (55633655).

The spelling of 11512144 in words is "eleven million, five hundred twelve thousand, one hundred forty-four".