12012768 has 72 divisors (see below), whose sum is σ = 34850088. Its totient is φ = 3923712.

The previous prime is 12012743. The next prime is 12012809. The reversal of 12012768 is 86721021.

12012768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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, 14871 + ... + 15657.

It is an arithmetic number, because the mean of its divisors is an integer number (484029).

Almost surely, 2^12012768 is an apocalyptic number.

12012768 is a gapful number since it is divisible by the number (18) 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 12012768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425044).

12012768 is an abundant number, since it is smaller than the sum of its proper divisors (22837320).

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

12012768 is a wasteful number, since it uses less digits than its factorization.

12012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12012768 is about 3465.9440272457. The cubic root of 12012768 is about 229.0240181263.

Adding to 12012768 its reverse (86721021), we get a palindrome (98733789).

It can be divided in two parts, 1201 and 2768, that added together give a square (3969 = 63²).

The spelling of 12012768 in words is "twelve million, twelve thousand, seven hundred sixty-eight".