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122100210111220 = 2251117262491243747
BaseRepresentation
bin11011110000110010101011…
…101001101001001011110100
3121000022122222120121222120021
4123300302223221221023310
5112000442212242024340
61111404021232214524
734501310013446665
oct3360625351511364
9530278876558507
10122100210111220
11359a5454509830
121183ba0939a444
135319000b88133
14222197883536c
15e1b190022e4a
hex6f0caba692f4

122100210111220 has 96 divisors (see below), whose sum is σ = 296186148720000. Its totient is φ = 41786681610240.

The previous prime is 122100210111179. The next prime is 122100210111239. The reversal of 122100210111220 is 22111012001221.

It is a super-2 number, since 2×1221002101112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122100210111194 and 122100210111203.

It is a congruent number.

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, 97549387 + ... + 98793133.

It is an arithmetic number, because the mean of its divisors is an integer number (3085272382500).

Almost surely, 2122100210111220 is an apocalyptic number.

122100210111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100210111220 is an abundant number, since it is smaller than the sum of its proper divisors (174085938608780).

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

122100210111220 is a wasteful number, since it uses less digits than its factorization.

122100210111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270033 (or 1270031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122100210111220 its reverse (22111012001221), we get a palindrome (144211222112441).

The spelling of 122100210111220 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 26249 52498 104996 131245 262490 288739 446233 524980 577478 892466 1154956 1243747 1443695 1784932 2231165 2487494 2887390 4462330 4908563 4974988 5774780 6218735 8924660 9817126 12437470 13681217 19634252 21143699 24542815 24874940 27362434 42287398 49085630 54724868 68406085 84574796 98171260 105718495 136812170 211436990 232580689 273624340 422873980 465161378 930322756 1162903445 2325806890 4651613780 32647115003 65294230006 130588460012 163235575015 326471150030 359118265033 555000955051 652942300060 718236530066 1110001910102 1436473060132 1795591325165 2220003820204 2775004775255 3591182650330 5550009550510 6105010505561 7182365300660 11100019101020 12210021011122 24420042022244 30525052527805 61050105055610 122100210111220