12330720 has 72 divisors (see below), whose sum is σ = 42083496. Its totient is φ = 3287808.

The previous prime is 12330719. The next prime is 12330733. The reversal of 12330720 is 2703321.

12330720 = T₁₅₇ + T₁₅₈ + ... + T₄₂₆.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12330693 and 12330702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2842 + ... + 5721.

It is an arithmetic number, because the mean of its divisors is an integer number (584493).

Almost surely, 2^12330720 is an apocalyptic number.

12330720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330720 is an abundant number, since it is smaller than the sum of its proper divisors (29752776).

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

12330720 is a wasteful number, since it uses less digits than its factorization.

12330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 12330720 is about 3511.5124946382. The cubic root of 12330720 is about 231.0270390567.

The spelling of 12330720 in words is "twelve million, three hundred thirty thousand, seven hundred twenty".