12890000 has 50 divisors (see below), whose sum is σ = 31232190. Its totient is φ = 5152000.

The previous prime is 12889997. The next prime is 12890027. The reversal of 12890000 is 9821.

It can be written as a sum of positive squares in 5 ways, for example, as 3055504 + 9834496 = 1748^2 + 3136^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 9356 + ... + 10644.

Almost surely, 2^12890000 is an apocalyptic number.

12890000 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 12890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616095).

12890000 is an abundant number, since it is smaller than the sum of its proper divisors (18342190).

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

12890000 is an equidigital number, since it uses as much as digits as its factorization.

12890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12890000 is about 3590.2646142032. The cubic root of 12890000 is about 234.4683924102.

Adding to 12890000 its reverse (9821), we get a palindrome (12899821).

The spelling of 12890000 in words is "twelve million, eight hundred ninety thousand".