12820239360 has 440 divisors, whose sum is σ = 48388132320. Its totient is φ = 3236806656.

The previous prime is 12820239323. The next prime is 12820239361. The reversal of 12820239360 is 6393202821.

12820239360 is a `hidden beast` number, since 1 + 2 + 8 + 202 + 393 + 60 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820239361) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7878867 + ... + 7880493.

It is an arithmetic number, because the mean of its divisors is an integer number (109973028).

Almost surely, 2^12820239360 is an apocalyptic number.

12820239360 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 12820239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24194066160).

12820239360 is an abundant number, since it is smaller than the sum of its proper divisors (35567892960).

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

12820239360 is a wasteful number, since it uses less digits than its factorization.

12820239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12820239360 in words is "twelve billion, eight hundred twenty million, two hundred thirty-nine thousand, three hundred sixty".