12999586320 has 420 divisors, whose sum is σ = 52725336300. Its totient is φ = 2970680832.

The previous prime is 12999586319. The next prime is 12999586337. The reversal of 12999586320 is 2368599921.

It is a happy number.

12999586320 is a `hidden beast` number, since 1 + 29 + 9 + 9 + 586 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 5830238736 = 84672^2 + 76356^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×12999586320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2855406 + ... + 2859954.

It is an arithmetic number, because the mean of its divisors is an integer number (125536515).

Almost surely, 2^12999586320 is an apocalyptic number.

12999586320 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 12999586320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26362668150).

12999586320 is an abundant number, since it is smaller than the sum of its proper divisors (39725749980).

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

12999586320 is an equidigital number, since it uses as much as digits as its factorization.

12999586320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 12999586320 in words is "twelve billion, nine hundred ninety-nine million, five hundred eighty-six thousand, three hundred twenty".