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121000100211120 = 243513137328246237
BaseRepresentation
bin11011100000110010000111…
…111111011010100110110000
3120212102111102000202201020110
4123200302013333122212300
5111324431201123223440
61105202402331141320
734325653165544664
oct3340620777324660
9525374360681213
10121000100211120
1135610944115209
12116a27688a4840
1352693503b1120
1421c46169208a4
15dec754ab4080
hex6e0c87fda9b0

121000100211120 has 160 divisors (see below), whose sum is σ = 404248407820992. Its totient is φ = 29762945888256.

The previous prime is 121000100211073. The next prime is 121000100211187. The reversal of 121000100211120 is 21112001000121.

It is a super-2 number, since 2×1210001002111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121000100211096 and 121000100211105.

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, 9839359 + ... + 18406878.

Almost surely, 2121000100211120 is an apocalyptic number.

121000100211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121000100211120 is an abundant number, since it is smaller than the sum of its proper divisors (283248307609872).

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

121000100211120 is a wasteful number, since it uses less digits than its factorization.

121000100211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28247639 (or 28247633 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121000100211120 its reverse (21112001000121), we get a palindrome (142112101211241).

The spelling of 121000100211120 in words is "one hundred twenty-one trillion, one hundred million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1373 1560 2746 3120 4119 5492 6865 8238 10984 13730 16476 17849 20595 21968 27460 32952 35698 41190 53547 54920 65904 71396 82380 89245 107094 109840 142792 164760 178490 214188 267735 285584 329520 356980 428376 535470 713960 856752 1070940 1427920 2141880 4283760 28246237 56492474 84738711 112984948 141231185 169477422 225969896 282462370 338954844 367201081 423693555 451939792 564924740 677909688 734402162 847387110 1101603243 1129849480 1355819376 1468804324 1694774220 1836005405 2203206486 2259698960 2937608648 3389548440 3672010810 4406412972 5508016215 5875217296 6779096880 7344021620 8812825944 11016032430 14688043240 17625651888 22032064860 29376086480 38782083401 44064129720 77564166802 88128259440 116346250203 155128333604 193910417005 232692500406 310256667208 387820834010 465385000812 504167084213 581731251015 620513334416 775641668020 930770001624 1008334168426 1163462502030 1512501252639 1551283336040 1861540003248 2016668336852 2326925004060 2520835421065 3025002505278 3102566672080 4033336673704 4653850008120 5041670842130 6050005010556 7562506263195 8066673347408 9307700016240 10083341684260 12100010021112 15125012526390 20166683368520 24200020042224 30250025052780 40333366737040 60500050105560 121000100211120