12106398330625 has 15 divisors (see below), whose sum is σ = 15128264051967. Its totient is φ = 9685049076000.

The previous prime is 12106398330613. The next prime is 12106398330659. The reversal of 12106398330625 is 52603389360121.

The square root of 12106398330625 is 3479425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11679121705729 + 427276624896 = 3417473^2 + 653664^2 .

It is not a de Polignac number, because 12106398330625 - 2⁹ = 12106398330113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 86916037 + ... + 87055213.

Almost surely, 2^{12106398330625} is an apocalyptic number.

12106398330625 is the 3479425-th square number.

12106398330625 is the 1739713-rd centered octagonal number.

It is an amenable number.

12106398330625 is a deficient number, since it is larger than the sum of its proper divisors (3021865721342).

12106398330625 is an frugal number, since it uses more digits than its factorization.

12106398330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278374 (or 139182 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 12106398330625 by its sum of digits (49), we get a square (593213518200625 = 24355975²).

The spelling of 12106398330625 in words is "twelve trillion, one hundred six billion, three hundred ninety-eight million, three hundred thirty thousand, six hundred twenty-five".