12431200012 has 72 divisors (see below), whose sum is σ = 28026432000. Its totient is φ = 4686976800.

The previous prime is 12431200009. The next prime is 12431200013. The reversal of 12431200012 is 21000213421.

12431200012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12431200013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 274989 + ... + 316987.

It is an arithmetic number, because the mean of its divisors is an integer number (389256000).

Almost surely, 2^12431200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013216000).

12431200012 is an abundant number, since it is smaller than the sum of its proper divisors (15595231988).

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

12431200012 is a wasteful number, since it uses less digits than its factorization.

12431200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42083 (or 42050 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12431200012 its reverse (21000213421), we get a palindrome (33431413433).

The spelling of 12431200012 in words is "twelve billion, four hundred thirty-one million, two hundred thousand, twelve".