12315082752 has 480 divisors, whose sum is σ = 43158071040. Its totient is φ = 3397386240.

The previous prime is 12315082751. The next prime is 12315082811. The reversal of 12315082752 is 25728051321.

12315082752 is a `hidden beast` number, since 123 + 1 + 508 + 27 + 5 + 2 = 666.

It is a super-2 number, since 2×12315082752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315082751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126959568 + ... + 126959664.

It is an arithmetic number, because the mean of its divisors is an integer number (89912648).

Almost surely, 2^12315082752 is an apocalyptic number.

12315082752 is a gapful number since it is divisible by the number (12) 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 12315082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21579035520).

12315082752 is an abundant number, since it is smaller than the sum of its proper divisors (30842988288).

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

12315082752 is an frugal number, since it uses more digits than its factorization.

12315082752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12315082752 in words is "twelve billion, three hundred fifteen million, eighty-two thousand, seven hundred fifty-two".