12315525120 has 420 divisors, whose sum is σ = 45675948780. Its totient is φ = 3170893824.

The previous prime is 12315525109. The next prime is 12315525161. The reversal of 12315525120 is 2152551321.

12315525120 is a `hidden beast` number, since 1 + 2 + 3 + 15 + 525 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5435817984 + 6879707136 = 73728^2 + 82944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424673266 + ... + 424673294.

It is an arithmetic number, because the mean of its divisors is an integer number (108752259).

Almost surely, 2^12315525120 is an apocalyptic number.

12315525120 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 12315525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837974390).

12315525120 is an abundant number, since it is smaller than the sum of its proper divisors (33360423660).

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

12315525120 is an frugal number, since it uses more digits than its factorization.

12315525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 12315525120 in words is "twelve billion, three hundred fifteen million, five hundred twenty-five thousand, one hundred twenty".