12288712320 has 576 divisors, whose sum is σ = 45976530600. Its totient is φ = 3021815808.

The previous prime is 12288712273. The next prime is 12288712363. The reversal of 12288712320 is 2321788221.

It can be written as a sum of positive squares in 4 ways, for example, as 12066583104 + 222129216 = 109848^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 112740426 + ... + 112740534.

Almost surely, 2^12288712320 is an apocalyptic number.

12288712320 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 12288712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988265300).

12288712320 is an abundant number, since it is smaller than the sum of its proper divisors (33687818280).

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

12288712320 is a wasteful number, since it uses less digits than its factorization.

12288712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12288712320 in words is "twelve billion, two hundred eighty-eight million, seven hundred twelve thousand, three hundred twenty".