12424340112000 has 1024 divisors, whose sum is σ = 45363711744000. Its totient is φ = 2995008307200.

The previous prime is 12424340111999. The next prime is 12424340112011. The reversal of 12424340112000 is 21104342421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2385165396 + ... + 2385170604.

It is an arithmetic number, because the mean of its divisors is an integer number (44300499750).

Almost surely, 2^{12424340112000} is an apocalyptic number.

12424340112000 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 12424340112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22681855872000).

12424340112000 is an abundant number, since it is smaller than the sum of its proper divisors (32939371632000).

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

12424340112000 is a wasteful number, since it uses less digits than its factorization.

12424340112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12424340112000 its reverse (21104342421), we get a palindrome (12445444454421).

The spelling of 12424340112000 in words is "twelve trillion, four hundred twenty-four billion, three hundred forty million, one hundred twelve thousand".