12083283968 has 108 divisors (see below), whose sum is σ = 28186495155. Its totient is φ = 5163626496.

The previous prime is 12083283967. The next prime is 12083283973. The reversal of 12083283968 is 86938238021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 6041641984 + 6041641984 = 77728^2 + 77728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=77728.

It is not an unprimeable number, because it can be changed into a prime (12083283967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34821971 + ... + 34822317.

Almost surely, 2^12083283968 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 12083283968

12083283968 is an abundant number, since it is smaller than the sum of its proper divisors (16103211187).

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

12083283968 is an frugal number, since it uses more digits than its factorization.

12083283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

Multiplying 12083283968 by its sum of digits (50), we get a square (604164198400 = 777280²).

The spelling of 12083283968 in words is "twelve billion, eighty-three million, two hundred eighty-three thousand, nine hundred sixty-eight".