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122000001010120 = 235211169726933163
BaseRepresentation
bin11011101111010101010110…
…101110010000100111001000
3120222222002022211112012112101
4123233111112232100213020
5111442322000224310440
61111250005435323144
734461131520240202
oct3357252656204710
9528862284465471
10122000001010120
1135966a01044a02
12118245015b04b4
13530c720c55a3c
14221ab8db03772
15e1877778269a
hex6ef556b909c8

122000001010120 has 128 divisors (see below), whose sum is σ = 276153226957440. Its totient is φ = 48506735370240.

The previous prime is 122000001010103. The next prime is 122000001010171. The reversal of 122000001010120 is 21010100000221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122000001010097 and 122000001010106.

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, 38570975659 + ... + 38570978821.

It is an arithmetic number, because the mean of its divisors is an integer number (2157447085605).

Almost surely, 2122000001010120 is an apocalyptic number.

122000001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000001010120 is an abundant number, since it is smaller than the sum of its proper divisors (154153225947320).

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

122000001010120 is a wasteful number, since it uses less digits than its factorization.

122000001010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7775 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122000001010120 its reverse (21010100000221), we get a palindrome (143010101010341).

The spelling of 122000001010120 in words is "one hundred twenty-two trillion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 1697 2110 2693 3163 3394 4220 5386 6326 6788 8440 8485 10772 12652 13465 13576 15815 16970 21544 25304 26930 31630 33940 53860 63260 67880 107720 126520 358067 568223 667393 716134 1136446 1334786 1432268 1790335 2272892 2669572 2841115 2864536 3336965 3580670 4545784 4570021 5339144 5367611 5682230 6673930 7161340 8517959 9140042 10735222 11364460 13347860 14322680 17035918 18280084 21470444 22728920 22850105 26695720 26838055 34071836 36560168 42589795 42940888 45700210 53676110 68143672 85179590 91400420 107352220 170359180 182800840 214704440 340718360 964274431 1132565921 1797289349 1928548862 2265131842 3594578698 3857097724 4530263684 4821372155 5662829605 7189157396 7714195448 8986446745 9060527368 9642744310 11325659210 14378314792 14454976423 17972893490 19285488620 22651318420 28909952846 35945786980 38570977240 45302636840 57819905692 71891573960 72274882115 115639811384 144549764230 289099528460 578199056920 3050000025253 6100000050506 12200000101012 15250000126265 24400000202024 30500000252530 61000000505060 122000001010120