12139182761689 has 27 divisors (see below), whose sum is σ = 12956514426271. Its totient is φ = 11371095189440.

The previous prime is 12139182761659. The next prime is 12139182761747. The reversal of 12139182761689 is 98616728193121.

The square root of 12139182761689 is 3484133.

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

It can be written as a sum of positive squares in only one way, i.e., 9450920835225 + 2688261926464 = 3074235^2 + 1639592^2 .

It is not a de Polignac number, because 12139182761689 - 2³¹ = 12137035278041 is a prime.

It is a super-2 number, since 2×12139182761689² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12139182761689.

It is not an unprimeable number, because it can be changed into a prime (12139182761659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18420610842 + ... + 18420611500.

Almost surely, 2^{12139182761689} is an apocalyptic number.

12139182761689 is the 3484133-rd square number.

12139182761689 is the 1742067-th centered octagonal number.

It is an amenable number.

12139182761689 is a deficient number, since it is larger than the sum of its proper divisors (817331664582).

12139182761689 is an frugal number, since it uses more digits than its factorization.

12139182761689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 987 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 64.

Multiplying 12139182761689 by its sum of digits (64), we get a square (776907696748096 = 27873064²).

The spelling of 12139182761689 in words is "twelve trillion, one hundred thirty-nine billion, one hundred eighty-two million, seven hundred sixty-one thousand, six hundred eighty-nine".