12487529600 has 768 divisors, whose sum is σ = 41718163200. Its totient is φ = 3583180800.

The previous prime is 12487529591. The next prime is 12487529611. The reversal of 12487529600 is 692578421.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204713570 + ... + 204713630.

It is an arithmetic number, because the mean of its divisors is an integer number (54320525).

Almost surely, 2^12487529600 is an apocalyptic number.

12487529600 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 12487529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20859081600).

12487529600 is an abundant number, since it is smaller than the sum of its proper divisors (29230633600).

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

12487529600 is a wasteful number, since it uses less digits than its factorization.

12487529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 12487529600 in words is "twelve billion, four hundred eighty-seven million, five hundred twenty-nine thousand, six hundred".