12301726320 has 720 divisors, whose sum is σ = 50019521760. Its totient is φ = 2691366912.

The previous prime is 12301726309. The next prime is 12301726331. The reversal of 12301726320 is 2362710321.

12301726320 is a `hidden beast` number, since 1 + 23 + 0 + 1 + 7 + 2 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12301726309) and next prime (12301726331).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39302484 + ... + 39302796.

It is an arithmetic number, because the mean of its divisors is an integer number (69471558).

Almost surely, 2^12301726320 is an apocalyptic number.

12301726320 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 12301726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009760880).

12301726320 is an abundant number, since it is smaller than the sum of its proper divisors (37717795440).

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

12301726320 is a wasteful number, since it uses less digits than its factorization.

12301726320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 12301726320 in words is "twelve billion, three hundred one million, seven hundred twenty-six thousand, three hundred twenty".