12112662105625 has 135 divisors (see below), whose sum is σ = 17008959008811. Its totient is φ = 8620068960000.

The previous prime is 12112662105623. The next prime is 12112662105631. The reversal of 12112662105625 is 52650126621121.

The square root of 12112662105625 is 3480325.

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 5915270929689 + 6197391175936 = 2432133^2 + 2489456^2 .

It is not a de Polignac number, because 12112662105625 - 2¹ = 12112662105623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12112662105623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28103624160 + ... + 28103624590.

Almost surely, 2^{12112662105625} is an apocalyptic number.

12112662105625 is the 3480325-th square number.

12112662105625 is the 1740163-rd centered octagonal number.

It is an amenable number.

12112662105625 is a deficient number, since it is larger than the sum of its proper divisors (4896296903186).

12112662105625 is an frugal number, since it uses more digits than its factorization.

12112662105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 12112662105625 its reverse (52650126621121), we get a palindrome (64762788726746).

The spelling of 12112662105625 in words is "twelve trillion, one hundred twelve billion, six hundred sixty-two million, one hundred five thousand, six hundred twenty-five".