12135681600 has 672 divisors, whose sum is σ = 47990833152. Its totient is φ = 2626560000.

The previous prime is 12135681589. The next prime is 12135681619. The reversal of 12135681600 is 618653121.

12135681600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 63537505 + ... + 63537695.

Almost surely, 2^12135681600 is an apocalyptic number.

12135681600 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 12135681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995416576).

12135681600 is an abundant number, since it is smaller than the sum of its proper divisors (35855151552).

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

12135681600 is a wasteful number, since it uses less digits than its factorization.

12135681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 12135681600 in words is "twelve billion, one hundred thirty-five million, six hundred eighty-one thousand, six hundred".