12585432200 has 96 divisors (see below), whose sum is σ = 31986792000. Its totient is φ = 4567123200.

The previous prime is 12585432187. The next prime is 12585432203. The reversal of 12585432200 is 223458521.

It is not an unprimeable number, because it can be changed into a prime (12585432203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114181 + ... + 1125419.

It is an arithmetic number, because the mean of its divisors is an integer number (333195750).

Almost surely, 2^12585432200 is an apocalyptic number.

12585432200 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 12585432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993396000).

12585432200 is an abundant number, since it is smaller than the sum of its proper divisors (19401359800).

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

12585432200 is a wasteful number, since it uses less digits than its factorization.

12585432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 12585432200 in words is "twelve billion, five hundred eighty-five million, four hundred thirty-two thousand, two hundred".