12717825120 has 1536 divisors, whose sum is σ = 63646248960. Its totient is φ = 2282618880.

The previous prime is 12717825089. The next prime is 12717825139. The reversal of 12717825120 is 2152871721.

12717825120 is a `hidden beast` number, since 1 + 2 + 71 + 78 + 2 + 512 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73513354 + ... + 73513526.

It is an arithmetic number, because the mean of its divisors is an integer number (41436360).

Almost surely, 2^12717825120 is an apocalyptic number.

12717825120 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 12717825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31823124480).

12717825120 is an abundant number, since it is smaller than the sum of its proper divisors (50928423840).

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

12717825120 is a wasteful number, since it uses less digits than its factorization.

12717825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 12717825120 in words is "twelve billion, seven hundred seventeen million, eight hundred twenty-five thousand, one hundred twenty".