16122142729 has 81 divisors (see below), whose sum is σ = 22126278069. Its totient is φ = 11701831680.

The previous prime is 16122142727. The next prime is 16122142741. The reversal of 16122142729 is 92724122161.

The square root of 16122142729 is 126973.

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

It can be written as a sum of positive squares in 4 ways, for example, as 943902729 + 15178240000 = 30723^2 + 123200^2 .

It is not a de Polignac number, because 16122142729 - 2¹ = 16122142727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16122142723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166207609 + ... + 166207705.

Almost surely, 2^16122142729 is an apocalyptic number.

16122142729 is the 126973-rd square number.

16122142729 is the 63487-th centered octagonal number.

It is an amenable number.

16122142729 is a deficient number, since it is larger than the sum of its proper divisors (6004135340).

16122142729 is an equidigital number, since it uses as much as digits as its factorization.

16122142729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

It can be divided in two parts, 16122 and 142729, that added together give a palindrome (158851).

The spelling of 16122142729 in words is "sixteen billion, one hundred twenty-two million, one hundred forty-two thousand, seven hundred twenty-nine".