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120020122122201 = 32741281389425083
BaseRepresentation
bin11011010010100001011100…
…101111101011011111011001
3120201221210220200002202100200
4123102201130233223133121
5111212402202230402301
61103132252151452413
734165111340331360
oct3322413457533731
9521853820082320
10120020122122201
1135273280024474
1211564854087109
1351c7b061c2462
14218d00d6647d7
15dd1eeae95c86
hex6d285cbeb7d9

120020122122201 has 96 divisors (see below), whose sum is σ = 204207224981760. Its totient is φ = 66500508211200.

The previous prime is 120020122122191. The next prime is 120020122122239. The reversal of 120020122122201 is 102221221020021.

It is a happy number.

120020122122201 is a `hidden beast` number, since 1 + 20 + 0 + 201 + 221 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 120020122122201 - 217 = 120020121991129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120020122122401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282132606 + ... + 282557688.

It is an arithmetic number, because the mean of its divisors is an integer number (2127158593560).

Almost surely, 2120020122122201 is an apocalyptic number.

It is an amenable number.

120020122122201 is a deficient number, since it is larger than the sum of its proper divisors (84187102859559).

120020122122201 is a wasteful number, since it uses less digits than its factorization.

120020122122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425807 (or 425804 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120020122122201 its reverse (102221221020021), we get a palindrome (222241343142222).

It can be divided in two parts, 120020 and 122122201, that added together give a palindrome (122242221).

The spelling of 120020122122201 in words is "one hundred twenty trillion, twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 41 63 123 281 287 369 389 843 861 1167 1967 2529 2583 2723 3501 5901 8169 11521 15949 17703 24507 34563 47847 80647 103689 109309 111643 143541 241941 327927 334929 425083 725823 765163 983781 1004787 1275249 2295489 2975581 3825747 4481669 6886467 8926743 13445007 17428403 26780229 31371683 40335021 52285209 94115049 119448323 121998821 156855627 165357287 282345147 358344969 365996463 496071861 836138261 1075034907 1097989389 1157501009 1488215583 2508414783 3472503027 4897381243 6779648767 7525244349 10417509081 14692143729 20338946301 34281668701 44076431187 46465397647 47457541369 61016838903 102845006103 139396192941 142372624107 308535018309 325257783529 418188578823 427117872321 975773350587 1905081303527 2927320051761 5715243910581 13335569124689 17145731731743 40006707374067 120020122122201