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102222201210120 = 233252285312425089
BaseRepresentation
bin10111001111100001110101…
…111111011100010100001000
3111101221100100221221101121200
4113033201311333130110020
5101344302032002210440
61001224121514504200
730350211303600405
oct2717416577342410
9441840327841550
10102222201210120
112a6312127239a2
12b56b420435060
13450668743a4b4
141b3581c13d2ac
15bc4079d47c30
hex5cf875fdc508

102222201210120 has 96 divisors (see below), whose sum is σ = 332236718026200. Its totient is φ = 27258058653696.

The previous prime is 102222201210109. The next prime is 102222201210121. The reversal of 102222201210120 is 21012102222201.

It is a happy number.

102222201210120 is a `hidden beast` number, since 1 + 0 + 222 + 220 + 1 + 210 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90228987223236 + 11993213986884 = 9498894^2 + 3463122^2 .

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 = 102222201210093 and 102222201210102.

It is not an unprimeable number, because it can be changed into a prime (102222201210121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2014536 + ... + 14439624.

Almost surely, 2102222201210120 is an apocalyptic number.

102222201210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222201210120 is an abundant number, since it is smaller than the sum of its proper divisors (230014516816080).

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

102222201210120 is a wasteful number, since it uses less digits than its factorization.

102222201210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12447959 (or 12447952 counting only the distinct ones).

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

Adding to 102222201210120 its reverse (21012102222201), we get a palindrome (123234303432321).

The spelling of 102222201210120 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 22853 45706 68559 91412 114265 137118 182824 205677 228530 274236 342795 411354 457060 548472 685590 822708 914120 1028385 1371180 1645416 2056770 2742360 4113540 8227080 12425089 24850178 37275267 49700356 62125445 74550534 99400712 111825801 124250890 149101068 186376335 223651602 248501780 298202136 372752670 447303204 497003560 559129005 745505340 894606408 1118258010 1491010680 2236516020 4473032040 283950558917 567901117834 851851676751 1135802235668 1419752794585 1703703353502 2271604471336 2555555030253 2839505589170 3407406707004 4259258383755 5111110060506 5679011178340 6814813414008 8518516767510 10222220121012 11358022356680 12777775151265 17037033535020 20444440242024 25555550302530 34074067070040 51111100605060 102222201210120