12105561141 has 24 divisors (see below), whose sum is σ = 17702656920. Its totient is φ = 7970688000.

The previous prime is 12105561121. The next prime is 12105561151. The reversal of 12105561141 is 14116550121.

12105561141 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 5 + 611 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9375080625 + 2730480516 = 96825^2 + 52254^2 .

It is not a de Polignac number, because 12105561141 - 2⁵ = 12105561109 is a prime.

It is a super-2 number, since 2×12105561141² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105561121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355501 + ... + 388061.

It is an arithmetic number, because the mean of its divisors is an integer number (737610705).

Almost surely, 2^12105561141 is an apocalyptic number.

It is an amenable number.

12105561141 is a deficient number, since it is larger than the sum of its proper divisors (5597095779).

12105561141 is a wasteful number, since it uses less digits than its factorization.

12105561141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33077 (or 33074 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 12105561141 in words is "twelve billion, one hundred five million, five hundred sixty-one thousand, one hundred forty-one".