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122202112111020 = 22335673377615039
BaseRepresentation
bin11011110010010001100101…
…011110111011000110101100
3121000200102000022012221001000
4123302101211132323012230
5112004124411200023040
61111522513021520300
734511545154244264
oct3362214536730654
9530612008187030
10122202112111020
1135a34696536497
1211857708113090
1353257c074b736
1422268843207a4
15e1db56213130
hex6f24657bb1ac

122202112111020 has 96 divisors (see below), whose sum is σ = 385858742169600. Its totient is φ = 32100853321152.

The previous prime is 122202112110937. The next prime is 122202112111043. The reversal of 122202112111020 is 20111211202221.

122202112111020 is a `hidden beast` number, since 1 + 2 + 220 + 211 + 211 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122202112110984 and 122202112111002.

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, 1688771340 + ... + 1688843699.

It is an arithmetic number, because the mean of its divisors is an integer number (4019361897600).

Almost surely, 2122202112111020 is an apocalyptic number.

122202112111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202112111020 is an abundant number, since it is smaller than the sum of its proper divisors (263656630058580).

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

122202112111020 is a wasteful number, since it uses less digits than its factorization.

122202112111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377615124 (or 3377615116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122202112111020 its reverse (20111211202221), we get a palindrome (142313323313241).

The spelling of 122202112111020 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 3377615039 6755230078 10132845117 13510460156 16888075195 20265690234 30398535351 33776150390 40531380468 50664225585 60797070702 67552300780 91195606053 101328451170 121594141404 151992676755 182391212106 202656902340 226300207613 303985353510 364782424212 452600415226 455978030265 607970707020 678900622839 905200830452 911956060530 1131501038065 1357801245678 1823912121060 2036701868517 2263002076130 2715602491356 3394503114195 4073403737034 4526004152260 6110105605551 6789006228390 8146807474068 10183509342585 12220211211102 13578012456780 20367018685170 24440422422204 30550528027755 40734037370340 61101056055510 122202112111020