12007968 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3378432.

The previous prime is 12007939. The next prime is 12007999. The reversal of 12007968 is 86970021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12007968³ (a number of 22 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 71821 + ... + 71987.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 2^12007968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

12007968 is an abundant number, since it is smaller than the sum of its proper divisors (24570336).

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

12007968 is a wasteful number, since it uses less digits than its factorization.

12007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12007968 is about 3465.2515060238. The cubic root of 12007968 is about 228.9935099831.

Adding to 12007968 its reverse (86970021), we get a palindrome (98977989).

The spelling of 12007968 in words is "twelve million, seven thousand, nine hundred sixty-eight".