12925416100 has 27 divisors (see below), whose sum is σ = 28050620227. Its totient is φ = 5169711680.

The previous prime is 12925416089. The next prime is 12925416103. The reversal of 12925416100 is 161452921.

The square root of 12925416100 is 113690.

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

It can be written as a sum of positive squares in 4 ways, for example, as 54967396 + 12870448704 = 7414^2 + 113448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12925416103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1131216 + ... + 1142584.

Almost surely, 2^12925416100 is an apocalyptic number.

12925416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12925416100 is the 113690-th square number.

It is an amenable number.

12925416100 is an abundant number, since it is smaller than the sum of its proper divisors (15125204127).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12925416100 is an frugal number, since it uses more digits than its factorization.

12925416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22752 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

It can be divided in two parts, 12925 and 416100, that added together give a square (429025 = 655²).

The spelling of 12925416100 in words is "twelve billion, nine hundred twenty-five million, four hundred sixteen thousand, one hundred".