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120011023211121 = 337331418024331
BaseRepresentation
bin11011010010011000111110…
…011010000101101001110001
3120201220221102112220011212000
4123102120332122011221301
5111212230033420223441
61103124145234324213
734164340014012000
oct3322307632055161
9521827375804760
10120011023211121
113526a430a15949
1211562b34a29669
1351c6cb60c01c3
14218c7c9062c37
15dd1b6727c2b6
hex6d263e685a71

120011023211121 has 64 divisors (see below), whose sum is σ = 214028457984000. Its totient is φ = 66365542630800.

The previous prime is 120011023211117. The next prime is 120011023211173. The reversal of 120011023211121 is 121112320110021.

It is a happy number.

120011023211121 is a `hidden beast` number, since 1 + 200 + 110 + 2 + 321 + 11 + 21 = 666.

It is not a de Polignac number, because 120011023211121 - 22 = 120011023211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120011023211094 and 120011023211103.

It is not an unprimeable number, because it can be changed into a prime (120011023211221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208725075 + ... + 209299256.

It is an arithmetic number, because the mean of its divisors is an integer number (3344194656000).

Almost surely, 2120011023211121 is an apocalyptic number.

It is an amenable number.

120011023211121 is a deficient number, since it is larger than the sum of its proper divisors (94017434772879).

120011023211121 is an equidigital number, since it uses as much as digits as its factorization.

120011023211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418024392 (or 418024372 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120011023211121 its reverse (121112320110021), we get a palindrome (241123343321142).

The spelling of 120011023211121 in words is "one hundred twenty trillion, eleven billion, twenty-three million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 279 343 441 651 837 1029 1323 1519 1953 3087 4557 5859 9261 10633 13671 31899 41013 95697 287091 418024331 1254072993 2926170317 3762218979 8778510951 11286656937 12958754261 20483192219 26335532853 38876262783 61449576657 79006598559 90711279827 116628788349 143382345533 184348729971 272133839481 349886365047 430147036599 553046189913 634978958789 816401518443 1290441109797 1904936876367 2449204555329 3871323329391 4444852711523 5714810629101 13334558134569 17144431887303 40003674403707 120011023211121