12838900 has 18 divisors (see below), whose sum is σ = 27860630. Its totient is φ = 5135520.

The previous prime is 12838877. The next prime is 12838907. The reversal of 12838900 is 983821.

It can be written as a sum of positive squares in 3 ways, for example, as 4112784 + 8726116 = 2028^2 + 2954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12838907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64095 + ... + 64294.

Almost surely, 2^12838900 is an apocalyptic number.

12838900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12838900 is an abundant number, since it is smaller than the sum of its proper divisors (15021730).

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

12838900 is a wasteful number, since it uses less digits than its factorization.

12838900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128403 (or 128396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12838900 is about 3583.1410801139. The cubic root of 12838900 is about 234.1581466796.

The spelling of 12838900 in words is "twelve million, eight hundred thirty-eight thousand, nine hundred".