120281735093809 has 9 divisors (see below), whose sum is σ = 120380247215787. Its totient is φ = 120183303549384.

The previous prime is 120281735093801. The next prime is 120281735093837. The reversal of 120281735093809 is 908390537182021.

It is a happy number.

The square root of 120281735093809 is 10967303.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112661772350625 + 7619962743184 = 10614225^2 + 2760428^2 .

It is not a de Polignac number, because 120281735093809 - 2³ = 120281735093801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120281735093801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16001291319 + ... + 16001298835.

Almost surely, 2^{120281735093809} is an apocalyptic number.

120281735093809 is the 10967303-rd square number.

120281735093809 is the 5483652-nd centered octagonal number.

It is an amenable number.

120281735093809 is a deficient number, since it is larger than the sum of its proper divisors (98512121978).

120281735093809 is an frugal number, since it uses more digits than its factorization.

120281735093809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17952 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 120281735093809 in words is "one hundred twenty trillion, two hundred eighty-one billion, seven hundred thirty-five million, ninety-three thousand, eight hundred nine".