12141095659812 has 288 divisors, whose sum is σ = 38426096217600. Its totient is φ = 3151593639936.

The previous prime is 12141095659807. The next prime is 12141095659831. The reversal of 12141095659812 is 21895659014121.

12141095659812 is a `hidden beast` number, since 1 + 2 + 1 + 41 + 0 + 9 + 5 + 6 + 598 + 1 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 952759513 + ... + 952772255.

It is an arithmetic number, because the mean of its divisors is an integer number (133423945200).

Almost surely, 2^{12141095659812} is an apocalyptic number.

12141095659812 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 12141095659812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19213048108800).

12141095659812 is an abundant number, since it is smaller than the sum of its proper divisors (26285000557788).

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

12141095659812 is a wasteful number, since it uses less digits than its factorization.

12141095659812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20475 (or 20470 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 12141095659812 in words is "twelve trillion, one hundred forty-one billion, ninety-five million, six hundred fifty-nine thousand, eight hundred twelve".