12443200000000 has 936 divisors, whose sum is σ = 39163198698432. Its totient is φ = 3840000000000.

The previous prime is 12443199999949. The next prime is 12443200000013. The reversal of 12443200000000 is 234421.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 12443200000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123199999950 + ... + 123200000050.

Almost surely, 2^{12443200000000} is an apocalyptic number.

12443200000000 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 12443200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19581599349216).

12443200000000 is an abundant number, since it is smaller than the sum of its proper divisors (26719998698432).

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

12443200000000 is an frugal number, since it uses more digits than its factorization.

12443200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12443200000000 its reverse (234421), we get a palindrome (12443200234421).

The spelling of 12443200000000 in words is "twelve trillion, four hundred forty-three billion, two hundred million", and thus it is an aban number.