12771040 has 48 divisors (see below), whose sum is σ = 31767120. Its totient is φ = 4838400.

The previous prime is 12771037. The next prime is 12771041. The reversal of 12771040 is 4017721.

12771040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771041) 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, 940 + ... + 5140.

It is an arithmetic number, because the mean of its divisors is an integer number (661815).

Almost surely, 2^12771040 is an apocalyptic number.

12771040 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 12771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883560).

12771040 is an abundant number, since it is smaller than the sum of its proper divisors (18996080).

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

12771040 is a wasteful number, since it uses less digits than its factorization.

12771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 12771040 is about 3573.6591891225. The cubic root of 12771040 is about 233.7448701058.

Adding to 12771040 its reverse (4017721), we get a palindrome (16788761).

The spelling of 12771040 in words is "twelve million, seven hundred seventy-one thousand, forty".