12711000 has 128 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3196800.

The previous prime is 12710993. The next prime is 12711001. The reversal of 12711000 is 11721.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12711001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56889 + ... + 57111.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^12711000 is an apocalyptic number.

12711000 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 12711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

12711000 is an abundant number, since it is smaller than the sum of its proper divisors (29221800).

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

12711000 is a wasteful number, since it uses less digits than its factorization.

12711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 12711000 is about 3565.2489394150. The cubic root of 12711000 is about 233.3779959857.

Adding to 12711000 its reverse (11721), we get a palindrome (12722721).

The spelling of 12711000 in words is "twelve million, seven hundred eleven thousand".