12101044014144 has 168 divisors, whose sum is σ = 36513966128640. Its totient is φ = 3821072735232.

The previous prime is 12101044014047. The next prime is 12101044014251. The reversal of 12101044014144 is 44141044010121.

12101044014144 is a `hidden beast` number, since 1 + 2 + 10 + 104 + 401 + 4 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161747754 + ... + 161822550.

It is an arithmetic number, because the mean of its divisors is an integer number (217345036480).

Almost surely, 2^{12101044014144} 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 12101044014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256983064320).

12101044014144 is an abundant number, since it is smaller than the sum of its proper divisors (24412922114496).

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

12101044014144 is a wasteful number, since it uses less digits than its factorization.

12101044014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89617 (or 89604 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12101044014144 its reverse (44141044010121), we get a palindrome (56242088024265).

The spelling of 12101044014144 in words is "twelve trillion, one hundred one billion, forty-four million, fourteen thousand, one hundred forty-four".