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120121102111120 = 245114110853306763
BaseRepresentation
bin11011010011111111011111…
…100111110001000110010000
3120202022110120010202200200021
4123103333133213301012100
5111221031004120023440
61103250512243233224
734205314614144415
oct3323773747610620
9522273503680607
10120121102111120
1135302089655770
1211580336078814
1352044a9a538a6
142193c6c90410c
15dd495b25c84a
hex6d3fdf9f1190

120121102111120 has 160 divisors (see below), whose sum is σ = 312131565051264. Its totient is φ = 42610959667200.

The previous prime is 120121102111099. The next prime is 120121102111147. The reversal of 120121102111120 is 21111201121021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120121102111094 and 120121102111103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391422859 + ... + 391729621.

Almost surely, 2120121102111120 is an apocalyptic number.

120121102111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121102111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156065782525632).

120121102111120 is an abundant number, since it is smaller than the sum of its proper divisors (192010462940144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120121102111120 is a wasteful number, since it uses less digits than its factorization.

120121102111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317681 (or 317675 counting only the distinct ones).

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

Adding to 120121102111120 its reverse (21111201121021), we get a palindrome (141232303232141).

Subtracting from 120121102111120 its reverse (21111201121021), we obtain a palindrome (99009900990099).

The spelling of 120121102111120 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 10853 18040 21706 36080 43412 54265 86824 108530 119383 173648 217060 238766 306763 434120 444973 477532 596915 613526 868240 889946 955064 1193830 1227052 1533815 1779892 1910128 2224865 2387660 2454104 3067630 3374393 3559784 4449730 4775320 4894703 4908208 6135260 6748786 7119568 8899460 9550640 9789406 12270520 12577283 13497572 16871965 17798920 19578812 24473515 24541040 25154566 26995144 33743930 35597840 39157624 48947030 50309132 53990288 62886415 67487860 78315248 97894060 100618264 125772830 134975720 138350113 195788120 201236528 251545660 269951440 276700226 391576240 503091320 553400452 691750565 1006182640 1106800904 1383501130 2213601808 2767002260 3329298839 5534004520 6658597678 11068009040 13317195356 16646494195 26634390712 33292988390 36622287229 53268781424 66585976780 73244574458 133171953560 136501252399 146489148916 183111436145 266343907120 273002504798 292978297832 366222872290 546005009596 585956595664 682506261995 732445744580 1092010019192 1365012523990 1464891489160 1501513776389 2184020038384 2730025047980 2929782978320 3003027552778 5460050095960 6006055105556 7507568881945 10920100191920 12012110211112 15015137763890 24024220422224 30030275527780 60060551055560 120121102111120