12315597840 has 720 divisors, whose sum is σ = 53948868480. Its totient is φ = 2458460160.

The previous prime is 12315597839. The next prime is 12315597841. The reversal of 12315597840 is 4879551321.

12315597840 is a `hidden beast` number, since 1 + 2 + 3 + 15 + 597 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12315597839) and next prime (12315597841).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12315597840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12315597841) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 16183060 + ... + 16183820.

It is an arithmetic number, because the mean of its divisors is an integer number (74928984).

Almost surely, 2^12315597840 is an apocalyptic number.

12315597840 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 12315597840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974434240).

12315597840 is an abundant number, since it is smaller than the sum of its proper divisors (41633270640).

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

12315597840 is a wasteful number, since it uses less digits than its factorization.

12315597840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12315597840 in words is "twelve billion, three hundred fifteen million, five hundred ninety-seven thousand, eight hundred forty".