12641331263136 has 96 divisors (see below), whose sum is σ = 34273484195328. Its totient is φ = 4075520901120.

The previous prime is 12641331263009. The next prime is 12641331263153. The reversal of 12641331263136 is 63136213314621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12641331263136² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4005360 + ... + 6428496.

It is an arithmetic number, because the mean of its divisors is an integer number (357015460368).

Almost surely, 2^{12641331263136} is an apocalyptic number.

12641331263136 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 12641331263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136742097664).

12641331263136 is an abundant number, since it is smaller than the sum of its proper divisors (21632152932192).

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

12641331263136 is a wasteful number, since it uses less digits than its factorization.

12641331263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424934 (or 2424926 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

Adding to 12641331263136 its reverse (63136213314621), we get a palindrome (75777544577757).

The spelling of 12641331263136 in words is "twelve trillion, six hundred forty-one billion, three hundred thirty-one million, two hundred sixty-three thousand, one hundred thirty-six".