12020312103200 has 144 divisors (see below), whose sum is σ = 30401348642280. Its totient is φ = 4635464171520.

The previous prime is 12020312103187. The next prime is 12020312103203. The reversal of 12020312103200 is 230121302021.

It can be written as a sum of positive squares in 12 ways, for example, as 2500939822096 + 9519372281104 = 1581436^2 + 3085348^2 .

It is not an unprimeable number, because it can be changed into a prime (12020312103203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15323744 + ... + 16089056.

Almost surely, 2^{12020312103200} is an apocalyptic number.

12020312103200 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 12020312103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200674321140).

12020312103200 is an abundant number, since it is smaller than the sum of its proper divisors (18381036539080).

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

12020312103200 is a wasteful number, since it uses less digits than its factorization.

12020312103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766039 (or 766026 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12020312103200 its reverse (230121302021), we get a palindrome (12250433405221).

The spelling of 12020312103200 in words is "twelve trillion, twenty billion, three hundred twelve million, one hundred three thousand, two hundred".