12771720 has 96 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 3142656.

The previous prime is 12771719. The next prime is 12771727. The reversal of 12771720 is 2717721.

It can be written as a sum of positive squares in 4 ways, for example, as 11168964 + 1602756 = 3342^2 + 1266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3316 + ... + 6044.

Almost surely, 2^12771720 is an apocalyptic number.

12771720 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 12771720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).

12771720 is an abundant number, since it is smaller than the sum of its proper divisors (31945680).

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

12771720 is a wasteful number, since it uses less digits than its factorization.

12771720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 12771720 is about 3573.7543284339. The cubic root of 12771720 is about 233.7490186505.

The spelling of 12771720 in words is "twelve million, seven hundred seventy-one thousand, seven hundred twenty".