12102302023200 has 432 divisors, whose sum is σ = 42946132287240. Its totient is φ = 3206890045440.

The previous prime is 12102302023199. The next prime is 12102302023271. The reversal of 12102302023200 is 232020320121.

12102302023200 is a `hidden beast` number, since 1 + 210 + 230 + 2 + 0 + 23 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2461798656144 + 9640503367056 = 1569012^2 + 3104916^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 853891314 + ... + 853905486.

Almost surely, 2^{12102302023200} is an apocalyptic number.

12102302023200 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 12102302023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21473066143620).

12102302023200 is an abundant number, since it is smaller than the sum of its proper divisors (30843830264040).

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

12102302023200 is a wasteful number, since it uses less digits than its factorization.

12102302023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12102302023200 its reverse (232020320121), we get a palindrome (12334322343321).

The spelling of 12102302023200 in words is "twelve trillion, one hundred two billion, three hundred two million, twenty-three thousand, two hundred".