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120112122201 = 31737717312281
BaseRepresentation
bin110111111011100111…
…1011000100101011001
3102111000211011000020120
41233313033120211121
53431442200402301
6131102335343453
711451330123201
oct1576717304531
9374024130216
10120112122201
1146a371861a5
121b341381b89
13b4324b3676
145b561b1401
1531cec51e36
hex1bf73d8959

120112122201 has 64 divisors (see below), whose sum is σ = 179039725056. Its totient is φ = 71298662400.

The previous prime is 120112122131. The next prime is 120112122239. The reversal of 120112122201 is 102221211021.

It is a de Polignac number, because none of the positive numbers 2k-120112122201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120112122271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9774181 + ... + 9786461.

It is an arithmetic number, because the mean of its divisors is an integer number (2797495704).

Almost surely, 2120112122201 is an apocalyptic number.

It is an amenable number.

120112122201 is a deficient number, since it is larger than the sum of its proper divisors (58927602855).

120112122201 is a wasteful number, since it uses less digits than its factorization.

120112122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120112122201 its reverse (102221211021), we get a palindrome (222333333222).

The spelling of 120112122201 in words is "one hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 17 37 51 71 73 111 213 219 629 1207 1241 1887 2627 2701 3621 3723 5183 7881 8103 12281 15549 36843 44659 45917 88111 133977 137751 191771 208777 264333 454397 575313 626331 871951 896513 1363191 2615853 2689539 3260107 7724749 9780321 14823167 15240721 23174247 32262187 33170981 44469501 45722163 63652423 96786561 99512943 190957269 548457179 563906677 1082091191 1645371537 1691720031 2355139651 3246273573 7065418953 40037374067 120112122201