12998052081 has 81 divisors (see below), whose sum is σ = 22456459233. Its totient is φ = 7223610240.

The previous prime is 12998052073. The next prime is 12998052121. The reversal of 12998052081 is 18025089921.

The square root of 12998052081 is 114009.

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

12998052081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8425587681 + 4572464400 = 91791^2 + 67620^2 .

It is not a de Polignac number, because 12998052081 - 2³ = 12998052073 is a prime.

It is a super-2 number, since 2×12998052081² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12998052181) 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 80 ways as a sum of consecutive naturals, for example, 146045485 + ... + 146045573.

Almost surely, 2^12998052081 is an apocalyptic number.

12998052081 is the 114009-th square number.

12998052081 is the 57005-th centered octagonal number.

It is an amenable number.

12998052081 is a deficient number, since it is larger than the sum of its proper divisors (9458407152).

12998052081 is an frugal number, since it uses more digits than its factorization.

12998052081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 12998052081 in words is "twelve billion, nine hundred ninety-eight million, fifty-two thousand, eighty-one".