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122101221200220 = 223351741129875573
BaseRepresentation
bin11011110000110011100111…
…111010101001000101011100
3121000022202121001011121221000
4123300303213322221011130
5112001001300111401340
61111404305431310300
734501344041534223
oct3360634772510534
9530282531147830
10122101221200220
11359a5923216979
121184004bb1b390
1353191324a8752
142221a32c2bcba
15e1b1edb94d30
hex6f0ce7ea915c

122101221200220 has 96 divisors (see below), whose sum is σ = 380088659845440. Its totient is φ = 32541623320320.

The previous prime is 122101221200149. The next prime is 122101221200341. The reversal of 122101221200220 is 22002122101221.

It is a happy number.

122101221200220 is a `hidden beast` number, since 1 + 2 + 21 + 0 + 1 + 221 + 200 + 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 = 122101221200193 and 122101221200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63997647 + ... + 65877926.

It is an arithmetic number, because the mean of its divisors is an integer number (3959256873390).

Almost surely, 2122101221200220 is an apocalyptic number.

122101221200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101221200220 is an abundant number, since it is smaller than the sum of its proper divisors (257987438645220).

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

122101221200220 is a wasteful number, since it uses less digits than its factorization.

122101221200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129877332 (or 129877324 counting only the distinct ones).

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

Adding to 122101221200220 its reverse (22002122101221), we get a palindrome (144103343301441).

The spelling of 122101221200220 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1741 3482 5223 6964 8705 10446 15669 17410 20892 26115 31338 34820 47007 52230 62676 78345 94014 104460 156690 188028 235035 313380 470070 940140 129875573 259751146 389626719 519502292 649377865 779253438 1168880157 1298755730 1558506876 1948133595 2337760314 2597511460 3506640471 3896267190 4675520628 5844400785 7013280942 7792534380 11688801570 14026561884 17533202355 23377603140 35066404710 70132809420 226113372593 452226745186 678340117779 904453490372 1130566862965 1356680235558 2035020353337 2261133725930 2713360471116 3391700588895 4070040706674 4522267451860 6105061060011 6783401177790 8140081413348 10175101766685 12210122120022 13566802355580 20350203533370 24420244240044 30525305300055 40700407066740 61050610600110 122101221200220