12149109729 has 45 divisors (see below), whose sum is σ = 18708953571. Its totient is φ = 7856695440.

The previous prime is 12149109697. The next prime is 12149109743. The reversal of 12149109729 is 92790194121.

It is a happy number.

The square root of 12149109729 is 110223.

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., 10871190225 + 1277919504 = 104265^2 + 35748^2 .

It is not a de Polignac number, because 12149109729 - 2⁵ = 12149109697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12149105729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36704094 + ... + 36704424.

Almost surely, 2^12149109729 is an apocalyptic number.

12149109729 is the 110223-rd square number.

12149109729 is the 55112-nd centered octagonal number.

It is an amenable number.

12149109729 is a deficient number, since it is larger than the sum of its proper divisors (6559843842).

12149109729 is an frugal number, since it uses more digits than its factorization.

12149109729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 12149109729 in words is "twelve billion, one hundred forty-nine million, one hundred nine thousand, seven hundred twenty-nine".