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122221112220 = 22355103244159
BaseRepresentation
bin111000111010011110…
…0100010101110011100
3102200110210120210200000
41301310330202232130
54000302101042340
6132051514334300
711554516212144
oct1616474425634
9380423523600
10122221112220
11479196a4659
121b82b72a390
13b6aa3cb45c
145cb631b924
1532a4e92d30
hex1c74f22b9c

122221112220 has 144 divisors (see below), whose sum is σ = 388202680320. Its totient is φ = 32275734336.

The previous prime is 122221112207. The next prime is 122221112257. The reversal of 122221112220 is 22211122221.

It is a happy number.

122221112220 is a `hidden beast` number, since 1 + 222 + 211 + 12 + 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 = 122221112193 and 122221112202.

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, 378501 + ... + 622659.

Almost surely, 2122221112220 is an apocalyptic number.

122221112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194101340160).

122221112220 is an abundant number, since it is smaller than the sum of its proper divisors (265981568100).

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

122221112220 is a wasteful number, since it uses less digits than its factorization.

122221112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244286 (or 244272 counting only the distinct ones).

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

Adding to 122221112220 its reverse (22211122221), we get a palindrome (144432234441).

The spelling of 122221112220 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 243 270 309 324 405 412 486 515 540 618 810 927 972 1030 1215 1236 1545 1620 1854 2060 2430 2781 3090 3708 4635 4860 5562 6180 8343 9270 11124 13905 16686 18540 25029 27810 33372 41715 50058 55620 83430 100116 125145 166860 244159 250290 488318 500580 732477 976636 1220795 1464954 2197431 2441590 2929908 3662385 4394862 4883180 6592293 7324770 8789724 10987155 13184586 14649540 19776879 21974310 25148377 26369172 32961465 39553758 43948620 50296754 59330637 65922930 75445131 79107516 98884395 100593508 118661274 125741885 131845860 150890262 197768790 226335393 237322548 251483770 296653185 301780524 377225655 395537580 452670786 502967540 593306370 679006179 754451310 905341572 1131676965 1186612740 1358012358 1508902620 2037018537 2263353930 2716024716 3395030895 4074037074 4526707860 6111055611 6790061790 8148074148 10185092685 12222111222 13580123580 20370185370 24444222444 30555278055 40740370740 61110556110 122221112220