12523848100 has 135 divisors (see below), whose sum is σ = 29641781841. Its totient is φ = 4592786400.

The previous prime is 12523848067. The next prime is 12523848109. The reversal of 12523848100 is 184832521.

It is a happy number.

The square root of 12523848100 is 111910.

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

12523848100 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., 4508585316 + 8015262784 = 67146^2 + 89528^2 .

It is a super-2 number, since 2×12523848100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12523848109) by changing a digit.

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, 403995085 + ... + 403995115.

Almost surely, 2^12523848100 is an apocalyptic number.

12523848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12523848100 is the 111910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12523848100

12523848100 is an abundant number, since it is smaller than the sum of its proper divisors (17117933741).

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

12523848100 is an frugal number, since it uses more digits than its factorization.

12523848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 12523848100 in words is "twelve billion, five hundred twenty-three million, eight hundred forty-eight thousand, one hundred".