12303286387200 has 960 divisors, whose sum is σ = 47999984947200. Its totient is φ = 3077852774400.

The previous prime is 12303286387163. The next prime is 12303286387211. The reversal of 12303286387200 is 278368230321.

12303286387200 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 2 + 8 + 638 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676330105 + ... + 676348295.

It is an arithmetic number, because the mean of its divisors is an integer number (49999984320).

Almost surely, 2^{12303286387200} is an apocalyptic number.

12303286387200 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 12303286387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999992473600).

12303286387200 is an abundant number, since it is smaller than the sum of its proper divisors (35696698560000).

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

12303286387200 is a wasteful number, since it uses less digits than its factorization.

12303286387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18350 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12303286387200 in words is "twelve trillion, three hundred three billion, two hundred eighty-six million, three hundred eighty-seven thousand, two hundred".