12424313101200 has 960 divisors, whose sum is σ = 53487035277312. Its totient is φ = 2380841164800.

The previous prime is 12424313101157. The next prime is 12424313101273. The reversal of 12424313101200 is 210131342421.

It is a super-2 number, since 2×12424313101200² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1457051337 + ... + 1457059863.

Almost surely, 2^{12424313101200} is an apocalyptic number.

12424313101200 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 12424313101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743517638656).

12424313101200 is an abundant number, since it is smaller than the sum of its proper divisors (41062722176112).

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

12424313101200 is a wasteful number, since it uses less digits than its factorization.

12424313101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12424313101200 its reverse (210131342421), we get a palindrome (12634444443621).

The spelling of 12424313101200 in words is "twelve trillion, four hundred twenty-four billion, three hundred thirteen million, one hundred one thousand, two hundred".