12300720 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3242752.

The previous prime is 12300713. The next prime is 12300751. The reversal of 12300720 is 2700321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12300720.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25441 + ... + 25919.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^12300720 is an apocalyptic number.

12300720 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 12300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12300720 is an abundant number, since it is smaller than the sum of its proper divisors (26268240).

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

12300720 is a wasteful number, since it uses less digits than its factorization.

12300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 12300720 is about 3507.2382297186. The cubic root of 12300720 is about 230.8395279855.

The spelling of 12300720 in words is "twelve million, three hundred thousand, seven hundred twenty".