12854238883200 has 4032 divisors, whose sum is σ = 58688977415040. Its totient is φ = 2759049216000.

The previous prime is 12854238883193. The next prime is 12854238883243. The reversal of 12854238883200 is 238883245821.

12854238883200 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 4 + 238 + 88 + 320 + 0 = 666.

12854238883200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 113754326344 + ... + 113754326456.

It is an arithmetic number, because the mean of its divisors is an integer number (14555797970).

Almost surely, 2^{12854238883200} is an apocalyptic number.

12854238883200 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 12854238883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29344488707520).

12854238883200 is an abundant number, since it is smaller than the sum of its proper divisors (45834738531840).

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

12854238883200 is a wasteful number, since it uses less digits than its factorization.

12854238883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 12854238883200 in words is "twelve trillion, eight hundred fifty-four billion, two hundred thirty-eight million, eight hundred eighty-three thousand, two hundred".