12717661320 has 384 divisors, whose sum is σ = 51378163200. Its totient is φ = 2656530432.

The previous prime is 12717661283. The next prime is 12717661351. The reversal of 12717661320 is 2316671721.

It is a happy number.

12717661320 is a `hidden beast` number, since 1 + 2 + 7 + 17 + 6 + 613 + 20 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3372396 + ... + 3376164.

It is an arithmetic number, because the mean of its divisors is an integer number (133797300).

Almost surely, 2^12717661320 is an apocalyptic number.

12717661320 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 12717661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25689081600).

12717661320 is an abundant number, since it is smaller than the sum of its proper divisors (38660501880).

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

12717661320 is a wasteful number, since it uses less digits than its factorization.

12717661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12717661320 in words is "twelve billion, seven hundred seventeen million, six hundred sixty-one thousand, three hundred twenty".