12306016800000 has 3456 divisors, whose sum is σ = 58250271744000. Its totient is φ = 2540160000000.

The previous prime is 12306016799957. The next prime is 12306016800023. The reversal of 12306016800000 is 861060321.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81496799925 + ... + 81496800075.

It is an arithmetic number, because the mean of its divisors is an integer number (16854824000).

Almost surely, 2^{12306016800000} is an apocalyptic number.

12306016800000 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 12306016800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125135872000).

12306016800000 is an abundant number, since it is smaller than the sum of its proper divisors (45944254944000).

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

12306016800000 is an frugal number, since it uses more digits than its factorization.

12306016800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12306016800000 its reverse (861060321), we get a palindrome (12306877860321).

The spelling of 12306016800000 in words is "twelve trillion, three hundred six billion, sixteen million, eight hundred thousand".