12320098560 has 1728 divisors, whose sum is σ = 60609669120. Its totient is φ = 2229534720.

The previous prime is 12320098513. The next prime is 12320098589. The reversal of 12320098560 is 6589002321.

12320098560 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 0 + 98 + 560 = 666.

It is a super-2 number, since 2×12320098560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286513899 + ... + 286513941.

It is an arithmetic number, because the mean of its divisors is an integer number (35075040).

Almost surely, 2^12320098560 is an apocalyptic number.

12320098560 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 12320098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30304834560).

12320098560 is an abundant number, since it is smaller than the sum of its proper divisors (48289570560).

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

12320098560 is a wasteful number, since it uses less digits than its factorization.

12320098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12320098560 in words is "twelve billion, three hundred twenty million, ninety-eight thousand, five hundred sixty".