12312141324224 has 56 divisors (see below), whose sum is σ = 27922515176448. Its totient is φ = 5276568211200.

The previous prime is 12312141324221. The next prime is 12312141324269. The reversal of 12312141324224 is 42242314121321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312141324221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69648749 + ... + 69825299.

Almost surely, 2^{12312141324224} is an apocalyptic number.

12312141324224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12312141324224 is an abundant number, since it is smaller than the sum of its proper divisors (15610373852224).

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

12312141324224 is a wasteful number, since it uses less digits than its factorization.

12312141324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332233 (or 332223 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 12312141324224 its reverse (42242314121321), we get a palindrome (54554455445545).

The spelling of 12312141324224 in words is "twelve trillion, three hundred twelve billion, one hundred forty-one million, three hundred twenty-four thousand, two hundred twenty-four".