12820023216 has 960 divisors, whose sum is σ = 52689960960. Its totient is φ = 2799360000.

The previous prime is 12820023191. The next prime is 12820023217. The reversal of 12820023216 is 61232002821.

It is a self number, because there is not a number n which added to its sum of digits gives 12820023216.

It is not an unprimeable number, because it can be changed into a prime (12820023217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84900741 + ... + 84900891.

It is an arithmetic number, because the mean of its divisors is an integer number (54885376).

Almost surely, 2^12820023216 is an apocalyptic number.

12820023216 is a gapful number since it is divisible by the number (16) 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 12820023216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26344980480).

12820023216 is an abundant number, since it is smaller than the sum of its proper divisors (39869937744).

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

12820023216 is a wasteful number, since it uses less digits than its factorization.

12820023216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12820023216 in words is "twelve billion, eight hundred twenty million, twenty-three thousand, two hundred sixteen".