12319002081 has 9 divisors (see below), whose sum is σ = 17794595091. Its totient is φ = 8212446072.

The previous prime is 12319002079. The next prime is 12319002083. The reversal of 12319002081 is 18020091321.

The square root of 12319002081 is 110991.

It is a perfect power (a square), and thus also a powerful number.

12319002081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12319002079) and next prime (12319002083).

It can be written as a sum of positive squares in only one way, i.e., 9328662225 + 2990339856 = 96585^2 + 54684^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12319002081 - 2¹ = 12319002079 is a prime.

It is a super-2 number, since 2×12319002081² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12319002083) 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 8 ways as a sum of consecutive naturals, for example, 314475 + ... + 351471.

Almost surely, 2^12319002081 is an apocalyptic number.

12319002081 is the 110991-st square number.

12319002081 is the 55496-th centered octagonal number.

It is an amenable number.

12319002081 is a deficient number, since it is larger than the sum of its proper divisors (5475593010).

12319002081 is an frugal number, since it uses more digits than its factorization.

12319002081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74000 (or 37000 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12319002081 in words is "twelve billion, three hundred nineteen million, two thousand, eighty-one".