12288716160 has 128 divisors (see below), whose sum is σ = 44766086400. Its totient is φ = 2808846336.

The previous prime is 12288716147. The next prime is 12288716177. The reversal of 12288716160 is 6161788221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12288716160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443730 + ... + 470609.

It is an arithmetic number, because the mean of its divisors is an integer number (349735050).

Almost surely, 2^12288716160 is an apocalyptic number.

12288716160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288716160 is an abundant number, since it is smaller than the sum of its proper divisors (32477370240).

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

12288716160 is an equidigital number, since it uses as much as digits as its factorization.

12288716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914368 (or 914356 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 12288716160 in words is "twelve billion, two hundred eighty-eight million, seven hundred sixteen thousand, one hundred sixty".