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122201200222220 = 22577323950029559
BaseRepresentation
bin11011110010010000101111…
…001000010110000000001100
3121000200022122202100011202202
4123302100233020112000030
5112004121024224102340
61111522242324541032
734511513442311330
oct3362205710260014
9530608582304682
10122201200222220
1135a34268823989
12118574b2851778
1353256a6851872
1422267d918b7c0
15e1db01138c15
hex6f242f21600c

122201200222220 has 96 divisors (see below), whose sum is σ = 298544395161600. Its totient is φ = 41150712282624.

The previous prime is 122201200222219. The next prime is 122201200222243. The reversal of 122201200222220 is 22222002102221.

It is a super-2 number, since 2×1222012002222202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122201200222192 and 122201200222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22572200 + ... + 27457359.

It is an arithmetic number, because the mean of its divisors is an integer number (3109837449600).

Almost surely, 2122201200222220 is an apocalyptic number.

122201200222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201200222220 is an abundant number, since it is smaller than the sum of its proper divisors (176343194939380).

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

122201200222220 is a wasteful number, since it uses less digits than its factorization.

122201200222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50029887 (or 50029885 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122201200222220 its reverse (22222002102221), we get a palindrome (144423202324441).

The spelling of 122201200222220 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 239 292 365 478 511 730 956 1022 1195 1460 1673 2044 2390 2555 3346 4780 5110 6692 8365 10220 16730 17447 33460 34894 69788 87235 122129 174470 244258 348940 488516 610645 1221290 2442580 50029559 100059118 200118236 250147795 350206913 500295590 700413826 1000591180 1400827652 1751034565 3502069130 3652157807 7004138260 7304315614 11957064601 14608631228 18260789035 23914129202 25565104649 36521578070 47828258404 51130209298 59785323005 73043156140 83699452207 102260418596 119570646010 127825523245 167398904414 239141292020 255651046490 334797808828 418497261035 511302092980 836994522070 872865715873 1673989044140 1745731431746 3491462863492 4364328579365 6110060011111 8728657158730 12220120022222 17457314317460 24440240044444 30550300055555 61100600111110 122201200222220