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120686065201 = 132267232
BaseRepresentation
bin111000001100101110…
…0110011011000110001
3102112111211010100000201
41300121130303120301
53434131113041301
6131235321115201
711501466425332
oct1603134633061
9375454110021
10120686065201
1147201157059
121b481628b01
13b4c4387c00
145bac4d4289
153215324201
hex1c19733631

120686065201 has 9 divisors (see below), whose sum is σ = 130688617899. Its totient is φ = 111398352936.

The previous prime is 120686065193. The next prime is 120686065207. The reversal of 120686065201 is 102560686021.

The square root of 120686065201 is 347399.

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., 17852968225 + 102833096976 = 133615^2 + 320676^2 .

It is not a de Polignac number, because 120686065201 - 23 = 120686065193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120686065207) 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, 4502826 + ... + 4529548.

Almost surely, 2120686065201 is an apocalyptic number.

120686065201 is the 347399-th square number.

120686065201 is the 173700-th centered octagonal number.

It is an amenable number.

120686065201 is a deficient number, since it is larger than the sum of its proper divisors (10002552698).

120686065201 is an frugal number, since it uses more digits than its factorization.

120686065201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53472 (or 26736 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 120686065201 in words is "one hundred twenty billion, six hundred eighty-six million, sixty-five thousand, two hundred one".

Divisors: 1 13 169 26723 347399 4516187 714118729 9283543477 120686065201