12816352320 has 224 divisors, whose sum is σ = 42347790336. Its totient is φ = 3280435200.

The previous prime is 12816352313. The next prime is 12816352331. The reversal of 12816352320 is 2325361821.

It is a super-3 number, since 3×12816352320³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3777825 + ... + 3781215.

Almost surely, 2^12816352320 is an apocalyptic number.

12816352320 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 12816352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173895168).

12816352320 is an abundant number, since it is smaller than the sum of its proper divisors (29531438016).

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

12816352320 is a wasteful number, since it uses less digits than its factorization.

12816352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 12816352320 in words is "twelve billion, eight hundred sixteen million, three hundred fifty-two thousand, three hundred twenty".