12311151125625 has 135 divisors (see below), whose sum is σ = 24430869249787. Its totient is φ = 5967639480000.

The previous prime is 12311151125599. The next prime is 12311151125629. The reversal of 12311151125625 is 52652115111321.

The square root of 12311151125625 is 3508725.

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

12311151125625 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 1 + 5 + 1 + 1 + 25 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 12288467151081 + 22683974544 = 3505491^2 + 150612^2 .

It is not a de Polignac number, because 12311151125625 - 2¹⁷ = 12311150994553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12311151125625.

It is not an unprimeable number, because it can be changed into a prime (12311151125629) 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, 2894695999 + ... + 2894700251.

Almost surely, 2^{12311151125625} is an apocalyptic number.

12311151125625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12311151125625 is the 3508725-th square number.

12311151125625 is the 1754363-rd centered octagonal number.

It is an amenable number.

12311151125625 is a deficient number, since it is larger than the sum of its proper divisors (12119718124162).

12311151125625 is an frugal number, since it uses more digits than its factorization.

12311151125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 4272 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

Multiplying 12311151125625 by its sum of digits (36), we get a square (443201440522500 = 21052350²).

Adding to 12311151125625 its reverse (52652115111321), we get a palindrome (64963266236946).

The spelling of 12311151125625 in words is "twelve trillion, three hundred eleven billion, one hundred fifty-one million, one hundred twenty-five thousand, six hundred twenty-five".