120806543387209 has 9 divisors (see below), whose sum is σ = 125116262684647. Its totient is φ = 116640492758104.

The previous prime is 120806543387203. The next prime is 120806543387219. The reversal of 120806543387209 is 902783345608021.

It is a happy number.

The square root of 120806543387209 is 10991203.

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., 63348020967609 + 57458522419600 = 7959147^2 + 7580140^2 .

It is not a de Polignac number, because 120806543387209 - 2¹³ = 120806543379017 is a prime.

It is a super-2 number, since 2×120806543387209² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120806543387203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 318555384 + ... + 318934390.

It is a 1-persistent number, because it is pandigital, but 2⋅120806543387209 = 241613086774418 is not.

Almost surely, 2^{120806543387209} is an apocalyptic number.

120806543387209 is the 10991203-rd square number.

120806543387209 is the 5495602-nd centered octagonal number.

It is an amenable number.

120806543387209 is a deficient number, since it is larger than the sum of its proper divisors (4309719297438).

120806543387209 is an frugal number, since it uses more digits than its factorization.

120806543387209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758072 (or 379036 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 120806543387209 in words is "one hundred twenty trillion, eight hundred six billion, five hundred forty-three million, three hundred eighty-seven thousand, two hundred nine".