12101048095312 has 160 divisors (see below), whose sum is σ = 26663605920000. Its totient is φ = 5269847224320.

The previous prime is 12101048095237. The next prime is 12101048095349. The reversal of 12101048095312 is 21359084010121.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 808399764 + ... + 808414732.

It is an arithmetic number, because the mean of its divisors is an integer number (166647537000).

Almost surely, 2^{12101048095312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101048095312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331802960000).

12101048095312 is an abundant number, since it is smaller than the sum of its proper divisors (14562557824688).

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

12101048095312 is a wasteful number, since it uses less digits than its factorization.

12101048095312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

It can be divided in two parts, 1210104809 and 5312, that added together give a palindrome (1210110121).

The spelling of 12101048095312 in words is "twelve trillion, one hundred one billion, forty-eight million, ninety-five thousand, three hundred twelve".