12869800 has 48 divisors (see below), whose sum is σ = 30159900. Its totient is φ = 5107200.

The previous prime is 12869749. The next prime is 12869807. The reversal of 12869800 is 896821.

It can be written as a sum of positive squares in 6 ways, for example, as 9036036 + 3833764 = 3006^2 + 1958^2 .

It is not an unprimeable number, because it can be changed into a prime (12869807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45660 + ... + 45940.

Almost surely, 2^12869800 is an apocalyptic number.

12869800 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 12869800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079950).

12869800 is an abundant number, since it is smaller than the sum of its proper divisors (17290100).

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

12869800 is a wasteful number, since it uses less digits than its factorization.

12869800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 12869800 is about 3587.4503480885. The cubic root of 12869800 is about 234.3458494116.

The spelling of 12869800 in words is "twelve million, eight hundred sixty-nine thousand, eight hundred".