12129038800 has 30 divisors (see below), whose sum is σ = 29140016678. Its totient is φ = 4851615360.

The previous prime is 12129038791. The next prime is 12129038849. The reversal of 12129038800 is 883092121.

12129038800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4195930176 + 7933108624 = 64776^2 + 89068^2 .

It is a super-2 number, since 2×12129038800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15160899 + ... + 15161698.

Almost surely, 2^12129038800 is an apocalyptic number.

12129038800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12129038800 is an abundant number, since it is smaller than the sum of its proper divisors (17010977878).

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

12129038800 is a wasteful number, since it uses less digits than its factorization.

12129038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30322615 (or 30322604 counting only the distinct ones).

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

The spelling of 12129038800 in words is "twelve billion, one hundred twenty-nine million, thirty-eight thousand, eight hundred".