12422124211200 has 528 divisors, whose sum is σ = 44828087913984. Its totient is φ = 3008736460800.

The previous prime is 12422124211187. The next prime is 12422124211213. The reversal of 12422124211200 is 211242122421.

It is an interprime number because it is at equal distance from previous prime (12422124211187) and next prime (12422124211213).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045011657 + ... + 1045023543.

Almost surely, 2^{12422124211200} is an apocalyptic number.

12422124211200 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 12422124211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22414043956992).

12422124211200 is an abundant number, since it is smaller than the sum of its proper divisors (32405963702784).

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

12422124211200 is a wasteful number, since it uses less digits than its factorization.

12422124211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12422124211200 its reverse (211242122421), we get a palindrome (12633366333621).

The spelling of 12422124211200 in words is "twelve trillion, four hundred twenty-two billion, one hundred twenty-four million, two hundred eleven thousand, two hundred".