12315565335060 has 288 divisors, whose sum is σ = 40595636809728. Its totient is φ = 3004156892160.

The previous prime is 12315565335049. The next prime is 12315565335067. The reversal of 12315565335060 is 6053356551321.

12315565335060 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 5 + 6 + 533 + 50 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12315565334997 and 12315565335015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315565335067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117492834 + ... + 117597606.

It is an arithmetic number, because the mean of its divisors is an integer number (140957072256).

Almost surely, 2^{12315565335060} is an apocalyptic number.

12315565335060 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 12315565335060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20297818404864).

12315565335060 is an abundant number, since it is smaller than the sum of its proper divisors (28280071474668).

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

12315565335060 is a wasteful number, since it uses less digits than its factorization.

12315565335060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105255 (or 105250 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 12315565335060 in words is "twelve trillion, three hundred fifteen billion, five hundred sixty-five million, three hundred thirty-five thousand, sixty".