12135505536 has 512 divisors, whose sum is σ = 45286041600. Its totient is φ = 3146480640.

The previous prime is 12135505507. The next prime is 12135505541. The reversal of 12135505536 is 63550553121.

12135505536 is a `hidden beast` number, since 1 + 21 + 3 + 550 + 55 + 36 = 666.

It is a super-2 number, since 2×12135505536² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12135505536.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21554791 + ... + 21555353.

It is an arithmetic number, because the mean of its divisors is an integer number (88449300).

Almost surely, 2^12135505536 is an apocalyptic number.

12135505536 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 12135505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643020800).

12135505536 is an abundant number, since it is smaller than the sum of its proper divisors (33150536064).

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

12135505536 is an frugal number, since it uses more digits than its factorization.

12135505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 12135505536 in words is "twelve billion, one hundred thirty-five million, five hundred five thousand, five hundred thirty-six".