12105450444240 has 120 divisors (see below), whose sum is σ = 40718567380608. Its totient is φ = 3223004117760.

The previous prime is 12105450444229. The next prime is 12105450444251. The reversal of 12105450444240 is 4244405450121.

12105450444240 is a `hidden beast` number, since 1 + 2 + 105 + 4 + 504 + 4 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12105450444229) and next prime (12105450444251).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12105450444195 and 12105450444204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12868284 + ... + 13776923.

Almost surely, 2^{12105450444240} is an apocalyptic number.

12105450444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105450444240 is an abundant number, since it is smaller than the sum of its proper divisors (28613116936368).

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

12105450444240 is a wasteful number, since it uses less digits than its factorization.

12105450444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26645857 (or 26645848 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 12105450444240 its reverse (4244405450121), we get a palindrome (16349855894361).

The spelling of 12105450444240 in words is "twelve trillion, one hundred five billion, four hundred fifty million, four hundred forty-four thousand, two hundred forty".