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122100210120 = 23357791839967
BaseRepresentation
bin111000110110110111…
…1010101100111001000
3102200011101002100011110
41301231233111213020
54000030123210440
6132031515130320
711551520442660
oct1615557254710
9380141070143
10122100210120
1147867427069
121b7b71439a0
13b68b349a55
145ca42491a0
153299560080
hex1c6dbd59c8

122100210120 has 128 divisors (see below), whose sum is σ = 423928627200. Its totient is φ = 27555330816.

The previous prime is 122100210119. The next prime is 122100210173. The reversal of 122100210120 is 21012001221.

It is a super-2 number, since 2×1221002101202 (a number of 23 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 = 122100210096 and 122100210105.

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, 853624 + ... + 986343.

It is an arithmetic number, because the mean of its divisors is an integer number (3311942400).

Almost surely, 2122100210120 is an apocalyptic number.

122100210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100210120 is an abundant number, since it is smaller than the sum of its proper divisors (301828417080).

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

122100210120 is a wasteful number, since it uses less digits than its factorization.

122100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840067 (or 1840063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100210120 its reverse (21012001221), we get a palindrome (143112211341).

The spelling of 122100210120 in words is "one hundred twenty-two billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 210 237 280 316 395 420 474 553 632 790 840 948 1106 1185 1580 1659 1896 2212 2370 2765 3160 3318 4424 4740 5530 6636 8295 9480 11060 13272 16590 22120 33180 66360 1839967 3679934 5519901 7359868 9199835 11039802 12879769 14719736 18399670 22079604 25759538 27599505 36799340 38639307 44159208 51519076 55199010 64398845 73598680 77278614 103038152 110398020 128797690 145357393 154557228 193196535 220796040 257595380 290714786 309114456 386393070 436072179 515190760 581429572 726786965 772786140 872144358 1017501751 1162859144 1453573930 1545572280 1744288716 2035003502 2180360895 2907147860 3052505253 3488577432 4070007004 4360721790 5087508755 5814295720 6105010506 8140014008 8721443580 10175017510 12210021012 15262526265 17442887160 20350035020 24420042024 30525052530 40700070040 61050105060 122100210120