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120100112022121 = 72115971101526651
BaseRepresentation
bin11011010011101011111100…
…100000111011101001101001
3120202020110101022012200122121
4123103223330200323221221
5111220210012134201441
61103233121344551241
734203642510265600
oct3323537440735151
9522213338180577
10120100112022121
11352a4198262180
1211578258622521
1352025131cbc9a
142192c3ad30a37
15dd412d61bdd1
hex6d3afc83ba69

120100112022121 has 96 divisors (see below), whose sum is σ = 158731733099520. Its totient is φ = 89804358000000.

The previous prime is 120100112022071. The next prime is 120100112022151. The reversal of 120100112022121 is 121220211001021.

It is not a de Polignac number, because 120100112022121 - 213 = 120100112013929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120100112022095 and 120100112022104.

It is not an unprimeable number, because it can be changed into a prime (120100112022151) 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, 227781646 + ... + 228308296.

It is an arithmetic number, because the mean of its divisors is an integer number (1653455553120).

Almost surely, 2120100112022121 is an apocalyptic number.

120100112022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120100112022121 is a deficient number, since it is larger than the sum of its proper divisors (38631621077399).

120100112022121 is a wasteful number, since it uses less digits than its factorization.

120100112022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526907 (or 526900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120100112022121 its reverse (121220211001021), we get a palindrome (241320323023142).

The spelling of 120100112022121 in words is "one hundred twenty trillion, one hundred billion, one hundred twelve million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 49 59 71 77 101 413 497 539 649 707 781 1111 2891 3479 4189 4543 4949 5467 5959 7171 7777 29323 31801 38269 41713 46079 50197 54439 65549 78881 205261 291991 322553 351379 423089 458843 526651 552167 2257871 2961623 3211901 3686557 3865169 4653979 5793161 20731361 25805899 31072409 32577853 37392221 40552127 53191751 217506863 228044971 261745547 283864889 341796499 372342257 411314431 585109261 1522548041 1832218829 2206141039 2392575493 2606395799 2879201017 3138313309 3776614321 4095764827 15442987273 16748028451 20154407119 21968193163 24267551429 26436300247 28670353789 34521446399 41542757531 108100910911 153777352141 169872860003 185054101729 222820244939 241650124793 290799302717 1189110020021 1559741714573 1691550873551 2035595119019 2451022694329 10918192002011 17157158860303 120100112022121