12126720 has 80 divisors (see below), whose sum is σ = 38792160. Its totient is φ = 3231744.

The previous prime is 12126707. The next prime is 12126733. The reversal of 12126720 is 2762121.

It is an interprime number because it is at equal distance from previous prime (12126707) and next prime (12126733).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6891 + ... + 8469.

It is an arithmetic number, because the mean of its divisors is an integer number (484902).

Almost surely, 2^12126720 is an apocalyptic number.

12126720 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 12126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19396080).

12126720 is an abundant number, since it is smaller than the sum of its proper divisors (26665440).

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

12126720 is an equidigital number, since it uses as much as digits as its factorization.

12126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12126720 is about 3482.3440381444. The cubic root of 12126720 is about 229.7459071696.

Adding to 12126720 its reverse (2762121), we get a palindrome (14888841).

The spelling of 12126720 in words is "twelve million, one hundred twenty-six thousand, seven hundred twenty".