12011975976 has 384 divisors, whose sum is σ = 41950863360. Its totient is φ = 2765145600.

The previous prime is 12011975971. The next prime is 12011975977. The reversal of 12011975976 is 67957911021.

12011975976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12011975971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94582425 + ... + 94582551.

It is an arithmetic number, because the mean of its divisors is an integer number (109247040).

Almost surely, 2^12011975976 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 12011975976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975431680).

12011975976 is an abundant number, since it is smaller than the sum of its proper divisors (29938887384).

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

12011975976 is a wasteful number, since it uses less digits than its factorization.

12011975976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 48.

The spelling of 12011975976 in words is "twelve billion, eleven million, nine hundred seventy-five thousand, nine hundred seventy-six".