12432202442112 has 256 divisors, whose sum is σ = 33522569280000. Its totient is φ = 4081990189056.

The previous prime is 12432202442081. The next prime is 12432202442129. The reversal of 12432202442112 is 21124420223421.

It is a super-2 number, since 2×12432202442112² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12432202442112.

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 31 ways as a sum of consecutive naturals, for example, 3874165564 + ... + 3874168772.

It is an arithmetic number, because the mean of its divisors is an integer number (130947536250).

Almost surely, 2^{12432202442112} is an apocalyptic number.

12432202442112 is a gapful number since it is divisible by the number (12) 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 12432202442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761284640000).

12432202442112 is an abundant number, since it is smaller than the sum of its proper divisors (21090366837888).

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

12432202442112 is a wasteful number, since it uses less digits than its factorization.

12432202442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12432202442112 its reverse (21124420223421), we get a palindrome (33556622665533).

The spelling of 12432202442112 in words is "twelve trillion, four hundred thirty-two billion, two hundred two million, four hundred forty-two thousand, one hundred twelve".