12102303103200 has 864 divisors, whose sum is σ = 44080877393280. Its totient is φ = 3123242496000.

The previous prime is 12102303103153. The next prime is 12102303103213. The reversal of 12102303103200 is 230130320121.

12102303103200 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 30 + 310 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6772412707 + ... + 6772414493.

It is an arithmetic number, because the mean of its divisors is an integer number (51019534020).

Almost surely, 2^{12102303103200} is an apocalyptic number.

12102303103200 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 12102303103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22040438696640).

12102303103200 is an abundant number, since it is smaller than the sum of its proper divisors (31978574290080).

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

12102303103200 is a wasteful number, since it uses less digits than its factorization.

12102303103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12102303103200 its reverse (230130320121), we get a palindrome (12332433423321).

The spelling of 12102303103200 in words is "twelve trillion, one hundred two billion, three hundred three million, one hundred three thousand, two hundred".