12810000 has 200 divisors, whose sum is σ = 48034624. Its totient is φ = 2880000.

The previous prime is 12809987. The next prime is 12810013. The reversal of 12810000 is 1821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12809987) and next prime (12810013).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×12810000² = 328192200000000, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 209970 + ... + 210030.

Almost surely, 2^12810000 is an apocalyptic number.

12810000 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 12810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017312).

12810000 is an abundant number, since it is smaller than the sum of its proper divisors (35224624).

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

12810000 is an equidigital number, since it uses as much as digits as its factorization.

12810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12810000 is about 3579.1060336347. The cubic root of 12810000 is about 233.9823202363.

Adding to 12810000 its reverse (1821), we get a palindrome (12811821).

The spelling of 12810000 in words is "twelve million, eight hundred ten thousand".