12135989581632 has 1120 divisors, whose sum is σ = 44889834528000. Its totient is φ = 3229035134976.

The previous prime is 12135989581591. The next prime is 12135989581633. The reversal of 12135989581632 is 23618598953121.

12135989581632 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 598 + 9 + 5 + 8 + 1 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12135989581632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135989581633) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2932104619 + ... + 2932108757.

It is an arithmetic number, because the mean of its divisors is an integer number (40080209400).

Almost surely, 2^{12135989581632} is an apocalyptic number.

12135989581632 is a gapful number since it is divisible by the number (12) 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 12135989581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444917264000).

12135989581632 is an abundant number, since it is smaller than the sum of its proper divisors (32753844946368).

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

12135989581632 is an equidigital number, since it uses as much as digits as its factorization.

12135989581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4265 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The spelling of 12135989581632 in words is "twelve trillion, one hundred thirty-five billion, nine hundred eighty-nine million, five hundred eighty-one thousand, six hundred thirty-two".