12342283200 has 336 divisors, whose sum is σ = 48455336160. Its totient is φ = 3037962240.

The previous prime is 12342283133. The next prime is 12342283243. The reversal of 12342283200 is 238224321.

12342283200 is a `hidden beast` number, since 1 + 234 + 228 + 3 + 200 = 666.

12342283200 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550612 + ... + 572588.

It is an arithmetic number, because the mean of its divisors is an integer number (144212310).

Almost surely, 2^12342283200 is an apocalyptic number.

12342283200 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 12342283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227668080).

12342283200 is an abundant number, since it is smaller than the sum of its proper divisors (36113052960).

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

12342283200 is a wasteful number, since it uses less digits than its factorization.

12342283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22021 (or 22000 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12342283200 in words is "twelve billion, three hundred forty-two million, two hundred eighty-three thousand, two hundred".