12523641600 has 648 divisors, whose sum is σ = 45830674288. Its totient is φ = 3008102400.

The previous prime is 12523641569. The next prime is 12523641607. The reversal of 12523641600 is 614632521.

12523641600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12523641607) 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 71 ways as a sum of consecutive naturals, for example, 205305570 + ... + 205305630.

Almost surely, 2^12523641600 is an apocalyptic number.

12523641600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12523641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915337144).

12523641600 is an abundant number, since it is smaller than the sum of its proper divisors (33307032688).

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

12523641600 is a wasteful number, since it uses less digits than its factorization.

12523641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12523641600 in words is "twelve billion, five hundred twenty-three million, six hundred forty-one thousand, six hundred".