12287583121536 has 640 divisors, whose sum is σ = 37982544494400. Its totient is φ = 3941141225472.

The previous prime is 12287583121523. The next prime is 12287583121607. The reversal of 12287583121536 is 63512138578221.

12287583121536 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 7 + 5 + 83 + 1 + 21 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 7090352926 + ... + 7090354658.

Almost surely, 2^{12287583121536} is an apocalyptic number.

12287583121536 is a gapful number since it is divisible by the number (16) 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 12287583121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991272247200).

12287583121536 is an abundant number, since it is smaller than the sum of its proper divisors (25694961372864).

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

12287583121536 is a wasteful number, since it uses less digits than its factorization.

12287583121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2037 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 12287583121536 in words is "twelve trillion, two hundred eighty-seven billion, five hundred eighty-three million, one hundred twenty-one thousand, five hundred thirty-six".