12315000144 has 80 divisors (see below), whose sum is σ = 32590146240. Its totient is φ = 4005841920.

The previous prime is 12315000143. The next prime is 12315000151. The reversal of 12315000144 is 44100051321.

It is a self number, because there is not a number n which added to its sum of digits gives 12315000144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315000143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 372114 + ... + 403854.

It is an arithmetic number, because the mean of its divisors is an integer number (407376828).

Almost surely, 2^12315000144 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 12315000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295073120).

12315000144 is an abundant number, since it is smaller than the sum of its proper divisors (20275146096).

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

12315000144 is a wasteful number, since it uses less digits than its factorization.

12315000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31948 (or 31942 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12315000144 its reverse (44100051321), we get a palindrome (56415051465).

The spelling of 12315000144 in words is "twelve billion, three hundred fifteen million, one hundred forty-four", and thus it is an aban number.