12706000 has 40 divisors (see below), whose sum is σ = 30727944. Its totient is φ = 5081600.

The previous prime is 12705997. The next prime is 12706007. The reversal of 12706000 is 60721.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 12027024 = 824^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12706000² = 322884872000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706007) 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, 1177 + ... + 5176.

Almost surely, 2^12706000 is an apocalyptic number.

12706000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12706000 is an abundant number, since it is smaller than the sum of its proper divisors (18021944).

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

12706000 is an equidigital number, since it uses as much as digits as its factorization.

12706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 12706000 is about 3564.5476571369. The cubic root of 12706000 is about 233.3473914432.

Adding to 12706000 its reverse (60721), we get a palindrome (12766721).

The spelling of 12706000 in words is "twelve million, seven hundred six thousand".