12312134264144 has 320 divisors, whose sum is σ = 29951462983680. Its totient is φ = 4822917120000.

The previous prime is 12312134264137. The next prime is 12312134264219. The reversal of 12312134264144 is 44146243121321.

It is a junction number, because it is equal to n+sod(n) for n = 12312134264098 and 12312134264107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4395619544 + ... + 4395622344.

It is an arithmetic number, because the mean of its divisors is an integer number (93598321824).

Almost surely, 2^{12312134264144} 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 12312134264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14975731491840).

12312134264144 is an abundant number, since it is smaller than the sum of its proper divisors (17639328719536).

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

12312134264144 is a wasteful number, since it uses less digits than its factorization.

12312134264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5024 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

Adding to 12312134264144 its reverse (44146243121321), we get a palindrome (56458377385465).

The spelling of 12312134264144 in words is "twelve trillion, three hundred twelve billion, one hundred thirty-four million, two hundred sixty-four thousand, one hundred forty-four".