12006720 has 168 divisors, whose sum is σ = 45171360. Its totient is φ = 2903040.

The previous prime is 12006679. The next prime is 12006721. The reversal of 12006720 is 2760021.

It is a happy number.

It is a super-2 number, since 2×12006720² = 288322650316800, which contains 22 as substring.

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 = 12006693 and 12006702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31491 + ... + 31869.

Almost surely, 2^12006720 is an apocalyptic number.

12006720 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 12006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585680).

12006720 is an abundant number, since it is smaller than the sum of its proper divisors (33164640).

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

12006720 is a wasteful number, since it uses less digits than its factorization.

12006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12006720 is about 3465.0714278352. The cubic root of 12006720 is about 228.9855765341.

Adding to 12006720 its reverse (2760021), we get a palindrome (14766741).

The spelling of 12006720 in words is "twelve million, six thousand, seven hundred twenty".