Search a number
-
+
122222021011020 = 223257753911286647
BaseRepresentation
bin11011110010100100001000…
…001001010110011001001100
3121000202022101210022211120200
4123302210020021112121030
5112004441144334323040
61111540004334413500
734513151422144440
oct3362441011263114
9530668353284520
10122222021011020
1135a420825a2757
121185b543661290
1353276442aa838
142227812490820
15e1e41de86630
hex6f290825664c

122222021011020 has 144 divisors (see below), whose sum is σ = 423708955557888. Its totient is φ = 27936069678720.

The previous prime is 122222021011009. The next prime is 122222021011033. The reversal of 122222021011020 is 20110120222221.

It is a happy number.

122222021011020 is a `hidden beast` number, since 1 + 222 + 220 + 210 + 1 + 10 + 2 + 0 = 666.

It is a super-2 number, since 2×1222220210110202 (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 = 122222021010984 and 122222021011002.

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, 94349337 + ... + 95635983.

Almost surely, 2122222021011020 is an apocalyptic number.

122222021011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222021011020 is an abundant number, since it is smaller than the sum of its proper divisors (301486934546868).

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

122222021011020 is a wasteful number, since it uses less digits than its factorization.

122222021011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362060 (or 1362055 counting only the distinct ones).

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

Adding to 122222021011020 its reverse (20110120222221), we get a palindrome (142332141233241).

The spelling of 122222021011020 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 75391 150782 226173 301564 376955 452346 527737 678519 753910 904692 1055474 1130865 1286647 1357038 1507820 1583211 2110948 2261730 2573294 2638685 2714076 3166422 3392595 3859941 4523460 4749633 5146588 5277370 6332844 6433235 6785190 7719882 7916055 9006529 9499266 10554740 11579823 12866470 13570380 15439764 15832110 18013058 18998532 19299705 23159646 23748165 25732940 27019587 31664220 36026116 38599410 45032645 46319292 47496330 54039174 57899115 77198820 81058761 90065290 94992660 108078348 115798230 135097935 162117522 180130580 231596460 270195870 324235044 405293805 540391740 810587610 1621175220 97001603977 194003207954 291004811931 388006415908 485008019885 582009623862 679011227839 873014435793 970016039770 1164019247724 1358022455678 1455024059655 1746028871586 1940032079540 2037033683517 2716044911356 2910048119310 3395056139195 3492057743172 4074067367034 4365072178965 5820096238620 6111101050551 6790112278390 8148134734068 8730144357930 10185168417585 12222202101102 13580224556780 17460288715860 20370336835170 24444404202204 30555505252755 40740673670340 61111010505510 122222021011020