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122212112220 = 2232511371668197
BaseRepresentation
bin111000111010001101…
…0001101011101011100
3102200110011122112222200
41301310122031131130
54000242300042340
6132050553411500
711554346546112
oct1616432153534
9380404575880
10122212112220
1147914607840
121b828709b90
13b6a8599b03
145cb5057ab2
1532a42b6330
hex1c7468d75c

122212112220 has 144 divisors (see below), whose sum is σ = 415341265248. Its totient is φ = 28826426880.

The previous prime is 122212112219. The next prime is 122212112233. The reversal of 122212112220 is 22211212221.

It is a happy number.

122212112220 is a `hidden beast` number, since 12 + 221 + 211 + 2 + 220 = 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 = 122212112193 and 122212112202.

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, 760839 + ... + 907358.

It is an arithmetic number, because the mean of its divisors is an integer number (2884314342).

Almost surely, 2122212112220 is an apocalyptic number.

122212112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212112220 is an abundant number, since it is smaller than the sum of its proper divisors (293129153028).

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

122212112220 is a wasteful number, since it uses less digits than its factorization.

122212112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668260 (or 1668255 counting only the distinct ones).

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

Adding to 122212112220 its reverse (22211212221), we get a palindrome (144423324441).

It can be divided in two parts, 122212 and 112220, that added together give a palindrome (234432).

The spelling of 122212112220 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 1668197 3336394 5004591 6672788 8340985 10009182 15013773 16681970 18350167 20018364 25022955 30027546 33363940 36700334 50045910 55050501 60055092 61723289 73400668 75068865 91750835 100091820 110101002 123446578 150137730 165151503 183501670 185169867 220202004 246893156 275252505 300275460 308616445 330303006 367003340 370339734 550505010 555509601 617232890 660606012 678956179 740679468 825757515 925849335 1101010020 1111019202 1234465780 1357912358 1651515030 1851698670 2036868537 2222038404 2715824716 2777548005 3303030060 3394780895 3703397340 4073737074 5555096010 6110605611 6789561790 8147474148 10184342685 11110192020 12221211222 13579123580 20368685370 24442422444 30553028055 40737370740 61106056110 122212112220