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120920118201 = 3214339375833
BaseRepresentation
bin111000010011101100…
…1101001001110111001
3102120010010112110101100
41300213121221032321
53440121022240301
6131314441442013
711510341021521
oct1604731511671
9376103473340
10120920118201
1147311288593
121b527aa0309
13b530a05bcc
145bd161c681
15322ab58286
hex1c276693b9

120920118201 has 12 divisors (see below), whose sum is σ = 174784297428. Its totient is φ = 80557148544.

The previous prime is 120920118191. The next prime is 120920118217. The reversal of 120920118201 is 102811029021.

It can be written as a sum of positive squares in 2 ways, for example, as 71662754601 + 49257363600 = 267699^2 + 221940^2 .

It is not a de Polignac number, because 120920118201 - 25 = 120920118169 is a prime.

It is a super-2 number, since 2×1209201182012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120920118251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4675020 + ... + 4700813.

It is an arithmetic number, because the mean of its divisors is an integer number (14565358119).

Almost surely, 2120920118201 is an apocalyptic number.

It is an amenable number.

120920118201 is a deficient number, since it is larger than the sum of its proper divisors (53864179227).

120920118201 is a wasteful number, since it uses less digits than its factorization.

120920118201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377272 (or 9377269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

It can be divided in two parts, 120920 and 118201, that added together give a square (239121 = 4892).

The spelling of 120920118201 in words is "one hundred twenty billion, nine hundred twenty million, one hundred eighteen thousand, two hundred one".

Divisors: 1 3 9 1433 4299 12897 9375833 28127499 84382497 13435568689 40306706067 120920118201