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210012122012121 = 321121367457484487
BaseRepresentation
bin101111110000000101000001…
…111011100101100111011001
31000112120221222212120022220200
4233300011001323211213121
5210011314311213341441
62022354123103212413
762143606106250252
oct5760050173454731
91015527885508820
10210012122012121
1160a09705964500
121b67990a8a7109
13902509a92b930
1439c08d8a51b29
151942d6d3047b6
hexbf0141ee59d9

210012122012121 has 144 divisors (see below), whose sum is σ = 365241774748032. Its totient is φ = 115482237995520.

The previous prime is 210012122012117. The next prime is 210012122012149. The reversal of 210012122012121 is 121210221210012.

210012122012121 is a `hidden beast` number, since 210 + 0 + 1 + 21 + 220 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 210012122012121 - 22 = 210012122012117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210012122012094 and 210012122012103.

It is not an unprimeable number, because it can be changed into a prime (210012122011121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433230940 + ... + 433715426.

It is an arithmetic number, because the mean of its divisors is an integer number (2536401213528).

Almost surely, 2210012122012121 is an apocalyptic number.

It is an amenable number.

210012122012121 is a deficient number, since it is larger than the sum of its proper divisors (155229652735911).

210012122012121 is a wasteful number, since it uses less digits than its factorization.

210012122012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485052 (or 485038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210012122012121 its reverse (121210221210012), we get a palindrome (331222343222133).

The spelling of 210012122012121 in words is "two hundred ten trillion, twelve billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 67 99 117 121 143 201 363 429 457 603 737 871 1089 1287 1371 1573 2211 2613 4113 4719 5027 5941 6633 7839 8107 9581 14157 15081 17823 24321 28743 30619 45243 53469 55297 65351 72963 86229 91857 105391 165891 196053 275571 316173 336809 398047 484487 497673 588159 718861 948519 1010427 1194141 1453461 2156583 3031281 3582423 3704899 4360383 4378517 5329357 6298331 6469749 11114697 13135551 15988071 18894993 32460629 33344091 39406653 47964213 48163687 56684979 58622927 69281641 97381887 144491061 175868781 207844923 221410559 292145661 357066919 421988177 433473183 527606343 623534769 664231677 762098051 1071200757 1265964531 1992695031 2286294153 2435516149 2878337267 3213602271 3797893593 3927736109 4641869947 6858882459 7306548447 8635011801 11783208327 13925609841 14834507453 21919645341 25905035403 26790677639 31661709937 35349624981 41776829523 44503522359 51060569417 80372032917 94985129811 133510567077 153181708251 163179581983 192848596889 241116098751 284955389433 348278809307 459545124753 489538745949 578545790667 1044836427921 1468616237847 1735637372001 1794975401813 2121334565779 3134509283763 5384926205439 6364003697337 16154778616317 19092011092011 23334680223569 70004040670707 210012122012121