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220112120011122 = 232197170912785369
BaseRepresentation
bin110010000011000011011000…
…101110010101100101110010
31001212100111212002200021010200
4302003003120232111211302
5212322304110210323442
62100050040104340030
764235401345610343
oct6203033056254562
91055314762607120
10220112120011122
11641530314871a9
122082b253774616
1395a863a045b61
143c4d6aa8400ca
151a6a94c1d934c
hexc830d8b95972

220112120011122 has 96 divisors (see below), whose sum is σ = 509798729232000. Its totient is φ = 68433426512640.

The previous prime is 220112120011031. The next prime is 220112120011219. The reversal of 220112120011122 is 221110021211022.

220112120011122 is a `hidden beast` number, since 220 + 1 + 121 + 200 + 1 + 1 + 122 = 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 = 220112120011095 and 220112120011104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10823254 + ... + 23608622.

It is an arithmetic number, because the mean of its divisors is an integer number (5310403429500).

Almost surely, 2220112120011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220112120011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254899364616000).

220112120011122 is an abundant number, since it is smaller than the sum of its proper divisors (289686609220878).

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

220112120011122 is a wasteful number, since it uses less digits than its factorization.

220112120011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12786176 (or 12786173 counting only the distinct ones).

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

Adding to 220112120011122 its reverse (221110021211022), we get a palindrome (441222141222144).

The spelling of 220112120011122 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 709 1278 1349 1418 2127 2698 4047 4254 6381 8094 12141 12762 13471 24282 26942 40413 50339 80826 100678 121239 151017 242478 302034 453051 906102 956441 1912882 2869323 5738646 8607969 12785369 17215938 25570738 38356107 76712214 115068321 230136642 242922011 485844022 728766033 907761199 1457532066 1815522398 2186298099 2723283597 4372596198 5446567194 8169850791 9064826621 16339701582 17247462781 18129653242 27194479863 34494925562 51742388343 54388959726 81583439589 103484776686 155227165029 163166879178 172231705799 310454330058 344463411598 516695117397 643602690091 1033390234794 1287205380182 1550085352191 1930808070273 3100170704382 3861616140546 5792424210819 11584848421638 12228451111729 24456902223458 36685353335187 73370706670374 110056060005561 220112120011122