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220122120112020 = 2235576470373901
BaseRepresentation
bin110010000011001100101100…
…110001101100011110010100
31001212101110200000122000200000
4302003030230301230132110
5212322440100222041040
62100054412253251300
764236204224222430
oct6203145461543624
91055343600560600
10220122120112020
11641572a325aaa5
1220831184793b30
1395a9571a6a219
143c4dd789cb9c0
151a6ad350b7130
hexc8332cc6c794

220122120112020 has 144 divisors (see below), whose sum is σ = 791352609710208. Its totient is φ = 50313627446400.

The previous prime is 220122120112009. The next prime is 220122120112033. The reversal of 220122120112020 is 20211021221022.

It is a happy number.

220122120112020 is a `hidden beast` number, since 2 + 201 + 221 + 201 + 1 + 20 + 20 = 666.

It is a super-2 number, since 2×2201221201120202 (a number of 29 digits) contains 22 as substring.

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 = 220122120111984 and 220122120112002.

It is a congruent number.

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, 3235152931 + ... + 3235220970.

Almost surely, 2220122120112020 is an apocalyptic number.

220122120112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122120112020 is an abundant number, since it is smaller than the sum of its proper divisors (571230489598188).

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

220122120112020 is a wasteful number, since it uses less digits than its factorization.

220122120112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470373932 (or 6470373918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220122120112020 its reverse (20211021221022), we get a palindrome (240333141333042).

The spelling of 220122120112020 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 6470373901 12940747802 19411121703 25881495604 32351869505 38822243406 45292617307 58233365109 64703739010 77644486812 90585234614 97055608515 116466730218 129407478020 135877851921 174700095327 181170469228 194111217030 226463086535 232933460436 271755703842 291166825545 349400190654 388222434060 407633555763 452926173070 524100285981 543511407684 582333651090 679389259605 698800381308 815267111526 873500476635 905852346140 1048200571962 1164667302180 1222900667289 1358778519210 1572300857943 1630534223052 1747000953270 2038167778815 2096401143924 2445801334578 2620501429905 2717557038420 3144601715886 3494001906540 3668702001867 4076335557630 4891602669156 5241002859810 6114503336445 6289203431772 7337404003734 7861504289715 8152671115260 10482005719620 11006106005601 12229006672890 14674808007468 15723008579430 18343510009335 22012212011202 24458013345780 31446017158860 36687020018670 44024424022404 55030530028005 73374040037340 110061060056010 220122120112020