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122230221210 = 23357910156737
BaseRepresentation
bin111000111010101111…
…1010010100110011010
3102200111102201120212000
41301311133102212122
54000311414034320
6132052441501430
711554656511026
oct1616537224632
9380442646760
10122230221210
1147923856349
121b8327a1876
13b6ac26a5a6
145cb760d386
1532a5b91c90
hex1c757d299a

122230221210 has 128 divisors (see below), whose sum is σ = 333347097600. Its totient is φ = 31862937600.

The previous prime is 122230221193. The next prime is 122230221229. The reversal of 122230221210 is 12122032221.

122230221210 is a `hidden beast` number, since 1 + 2 + 2 + 230 + 221 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125962 + ... + 2182698.

It is an arithmetic number, because the mean of its divisors is an integer number (2604274200).

Almost surely, 2122230221210 is an apocalyptic number.

122230221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122230221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166673548800).

122230221210 is an abundant number, since it is smaller than the sum of its proper divisors (211116876390).

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

122230221210 is a wasteful number, since it uses less digits than its factorization.

122230221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56933 (or 56927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122230221210 its reverse (12122032221), we get a palindrome (134352253431).

The spelling of 122230221210 in words is "one hundred twenty-two billion, two hundred thirty million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 101 135 158 202 237 270 303 395 474 505 606 711 790 909 1010 1185 1422 1515 1818 2133 2370 2727 3030 3555 4266 4545 5454 7110 7979 9090 10665 13635 15958 21330 23937 27270 39895 47874 56737 71811 79790 113474 119685 143622 170211 215433 239370 283685 340422 359055 430866 510633 567370 718110 851055 1021266 1077165 1531899 1702110 2154330 2553165 3063798 4482223 5106330 5730437 7659495 8964446 11460874 13446669 15318990 17191311 22411115 26893338 28652185 34382622 40340007 44822230 51573933 57304370 67233345 80680014 85956555 103147866 121020021 134466690 154721799 171913110 201700035 242040042 257869665 309443598 403400070 452704523 515739330 605100105 773608995 905409046 1210200210 1358113569 1547217990 2263522615 2716227138 4074340707 4527045230 6790567845 8148681414 12223022121 13581135690 20371703535 24446044242 40743407070 61115110605 122230221210