120126313541 has 12 divisors (see below), whose sum is σ = 131365521540. Its totient is φ = 109787932800.

The previous prime is 120126313523. The next prime is 120126313543. The reversal of 120126313541 is 145313621021.

It can be written as a sum of positive squares in 6 ways, for example, as 776792641 + 119349520900 = 27871^2 + 345470^2 .

It is a de Polignac number, because none of the positive numbers 2^k-120126313541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120126313543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3501776 + ... + 3535913.

It is an arithmetic number, because the mean of its divisors is an integer number (10947126795).

Almost surely, 2^120126313541 is an apocalyptic number.

It is an amenable number.

120126313541 is a deficient number, since it is larger than the sum of its proper divisors (11239207999).

120126313541 is a wasteful number, since it uses less digits than its factorization.

120126313541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037816 (or 7037803 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 120126313541 its reverse (145313621021), we get a palindrome (265439934562).

The spelling of 120126313541 in words is "one hundred twenty billion, one hundred twenty-six million, three hundred thirteen thousand, five hundred forty-one".