12000103200 has 162 divisors, whose sum is σ = 42348166497. Its totient is φ = 3197548800.

The previous prime is 12000103187. The next prime is 12000103211. The reversal of 12000103200 is 230100021.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11760101136 + 240002064 = 108444^2 + 15492^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=77460.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9294555 + ... + 9295845.

Almost surely, 2^12000103200 is an apocalyptic number.

12000103200 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 12000103200

12000103200 is an abundant number, since it is smaller than the sum of its proper divisors (30348063297).

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

12000103200 is an equidigital number, since it uses as much as digits as its factorization.

12000103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12000103200 its reverse (230100021), we get a palindrome (12230203221).

The spelling of 12000103200 in words is "twelve billion, one hundred three thousand, two hundred".