120943277361 has 45 divisors (see below), whose sum is σ = 192005525041. Its totient is φ = 75852592128.

The previous prime is 120943277359. The next prime is 120943277401. The reversal of 120943277361 is 163772349021.

The square root of 120943277361 is 347769.

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

120943277361 is a `hidden beast` number, since 1 + 209 + 432 + 7 + 7 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55427755761 + 65515521600 = 235431^2 + 255960^2 .

It is not a de Polignac number, because 120943277361 - 2¹ = 120943277359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120943275361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 53207521 + ... + 53209793.

Almost surely, 2^120943277361 is an apocalyptic number.

120943277361 is the 347769-th square number.

120943277361 is the 173885-th centered octagonal number.

It is an amenable number.

120943277361 is a deficient number, since it is larger than the sum of its proper divisors (71062247680).

120943277361 is an frugal number, since it uses more digits than its factorization.

120943277361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 120943277361 in words is "one hundred twenty billion, nine hundred forty-three million, two hundred seventy-seven thousand, three hundred sixty-one".