12078720 has 160 divisors (see below), whose sum is σ = 43320420. Its totient is φ = 3207168.

The previous prime is 12078719. The next prime is 12078727. The reversal of 12078720 is 2787021.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 627264 = 3384^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12078727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51724 + ... + 51956.

Almost surely, 2^12078720 is an apocalyptic number.

12078720 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 12078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660210).

12078720 is an abundant number, since it is smaller than the sum of its proper divisors (31241700).

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

12078720 is an equidigital number, since it uses as much as digits as its factorization.

12078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 12078720 is about 3475.4452952104. The cubic root of 12078720 is about 229.4423794855.

The spelling of 12078720 in words is "twelve million, seventy-eight thousand, seven hundred twenty".