12315002040 has 384 divisors, whose sum is σ = 45028638720. Its totient is φ = 2893363200.

The previous prime is 12315001939. The next prime is 12315002153. The reversal of 12315002040 is 4020051321.

12315002040 is a `hidden beast` number, since 123 + 1 + 500 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23636980 + ... + 23637500.

It is an arithmetic number, because the mean of its divisors is an integer number (117262080).

Almost surely, 2^12315002040 is an apocalyptic number.

12315002040 is a gapful number since it is divisible by the number (10) 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 12315002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22514319360).

12315002040 is an abundant number, since it is smaller than the sum of its proper divisors (32713636680).

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

12315002040 is a wasteful number, since it uses less digits than its factorization.

12315002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12315002040 its reverse (4020051321), we get a palindrome (16335053361).

The spelling of 12315002040 in words is "twelve billion, three hundred fifteen million, two thousand, forty".