12035968 has 96 divisors (see below), whose sum is σ = 29651400. Its totient is φ = 4838400.

The previous prime is 12035953. The next prime is 12035981. The reversal of 12035968 is 86953021.

12035968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119118 + ... + 119218.

Almost surely, 2^12035968 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 12035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825700).

12035968 is an abundant number, since it is smaller than the sum of its proper divisors (17615432).

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

12035968 is a wasteful number, since it uses less digits than its factorization.

12035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 12035968 is about 3469.2892643883. The cubic root of 12035968 is about 229.1713596982.

Adding to 12035968 its reverse (86953021), we get a palindrome (98988989).

The spelling of 12035968 in words is "twelve million, thirty-five thousand, nine hundred sixty-eight".