12771144 has 48 divisors (see below), whose sum is σ = 34994700. Its totient is φ = 4207104.

The previous prime is 12771139. The next prime is 12771149. The reversal of 12771144 is 44117721.

12771144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12771139) and next prime (12771149).

It can be written as a sum of positive squares in 2 ways, for example, as 12744900 + 26244 = 3570^2 + 162^2 .

It is not an unprimeable number, because it can be changed into a prime (12771149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5412 + ... + 7404.

Almost surely, 2^12771144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497350).

12771144 is an abundant number, since it is smaller than the sum of its proper divisors (22223556).

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

12771144 is a wasteful number, since it uses less digits than its factorization.

12771144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2087 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 12771144 is about 3573.6737400048. The cubic root of 12771144 is about 233.7455045986.

Adding to 12771144 its reverse (44117721), we get a palindrome (56888865).

The spelling of 12771144 in words is "twelve million, seven hundred seventy-one thousand, one hundred forty-four".