12125313225 has 45 divisors (see below), whose sum is σ = 22469454007. Its totient is φ = 6464190960.

The previous prime is 12125313181. The next prime is 12125313251. The reversal of 12125313225 is 52231352121.

The square root of 12125313225 is 110115.

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

12125313225 is a `hidden beast` number, since 1 + 2 + 125 + 313 + 225 = 666.

12125313225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4365112761 + 7760200464 = 66069^2 + 88092^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 12125313225 - 2¹⁵ = 12125280457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4953952 + ... + 4956398.

Almost surely, 2^12125313225 is an apocalyptic number.

12125313225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12125313225 is the 110115-th square number.

12125313225 is the 55058-th centered octagonal number.

It is an amenable number.

12125313225 is a deficient number, since it is larger than the sum of its proper divisors (10344140782).

12125313225 is an frugal number, since it uses more digits than its factorization.

12125313225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 2455 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Multiplying 12125313225 by its product of digits (3600), we get a square (43651127610000 = 6606900²).

Adding to 12125313225 its reverse (52231352121), we get a palindrome (64356665346).

The spelling of 12125313225 in words is "twelve billion, one hundred twenty-five million, three hundred thirteen thousand, two hundred twenty-five".