12129800 has 24 divisors (see below), whose sum is σ = 28202250. Its totient is φ = 4851840.

The previous prime is 12129781. The next prime is 12129811. The reversal of 12129800 is 892121.

It can be written as a sum of positive squares in 3 ways, for example, as 11035684 + 1094116 = 3322^2 + 1046^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30125 + ... + 30524.

Almost surely, 2^12129800 is an apocalyptic number.

12129800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12129800 is an abundant number, since it is smaller than the sum of its proper divisors (16072450).

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

12129800 is a wasteful number, since it uses less digits than its factorization.

12129800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60665 (or 60656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 12129800 is about 3482.7862409284. The cubic root of 12129800 is about 229.7653561631.

The spelling of 12129800 in words is "twelve million, one hundred twenty-nine thousand, eight hundred".