12135681504 has 288 divisors, whose sum is σ = 37040159520. Its totient is φ = 3761565696.

The previous prime is 12135681491. The next prime is 12135681581. The reversal of 12135681504 is 40518653121.

12135681504 is a `hidden beast` number, since 1 + 21 + 3 + 56 + 81 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53461039 + ... + 53461265.

It is an arithmetic number, because the mean of its divisors is an integer number (128611665).

Almost surely, 2^12135681504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520079760).

12135681504 is an abundant number, since it is smaller than the sum of its proper divisors (24904478016).

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

12135681504 is a wasteful number, since it uses less digits than its factorization.

12135681504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12135681504 in words is "twelve billion, one hundred thirty-five million, six hundred eighty-one thousand, five hundred four".