12072515625 has 63 divisors (see below), whose sum is σ = 21871966129. Its totient is φ = 6416700000.

The previous prime is 12072515617. The next prime is 12072515629. The reversal of 12072515625 is 52651527021.

The square root of 12072515625 is 109875.

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

12072515625 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 25 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 11883398121 + 189117504 = 109011^2 + 13752^2 .

It is not a de Polignac number, because 12072515625 - 2³ = 12072515617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12072515625.

It is not an unprimeable number, because it can be changed into a prime (12072515629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 41202979 + ... + 41203271.

Almost surely, 2^12072515625 is an apocalyptic number.

12072515625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12072515625 is the 109875-th square number.

12072515625 is the 54938-th centered octagonal number.

It is an amenable number.

12072515625 is a deficient number, since it is larger than the sum of its proper divisors (9799450504).

12072515625 is an frugal number, since it uses more digits than its factorization.

12072515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 12072515625 by its sum of digits (36), we get a square (434610562500 = 659250²).

The spelling of 12072515625 in words is "twelve billion, seventy-two million, five hundred fifteen thousand, six hundred twenty-five".