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120201122102220 = 223254122391727409
BaseRepresentation
bin11011010101001010000001…
…001011110011101111001100
3120202121010002212111102022100
4123111022001023303233030
5111223333344224232340
61103351344433315100
734214146600640205
oct3325120113635714
9522533085442270
10120201122102220
1135333011876415
1211593948705a90
13520bbc0067a53
142197aa01a45ac
15dd6a91379830
hex6d52812f3bcc

120201122102220 has 144 divisors (see below), whose sum is σ = 373520193359040. Its totient is φ = 31270397030400.

The previous prime is 120201122102213. The next prime is 120201122102221. The reversal of 120201122102220 is 22201221102021.

It is a happy number.

120201122102220 is a `hidden beast` number, since 1 + 20 + 201 + 1 + 221 + 0 + 2 + 220 = 666.

120201122102220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120201122102193 and 120201122102202.

It is not an unprimeable number, because it can be changed into a prime (120201122102221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164881876 + ... + 165609284.

It is an arithmetic number, because the mean of its divisors is an integer number (2593890231660).

Almost surely, 2120201122102220 is an apocalyptic number.

120201122102220 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 120201122102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186760096679520).

120201122102220 is an abundant number, since it is smaller than the sum of its proper divisors (253319071256820).

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

120201122102220 is a wasteful number, since it uses less digits than its factorization.

120201122102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749856 (or 749851 counting only the distinct ones).

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

Adding to 120201122102220 its reverse (22201221102021), we get a palindrome (142402343204241).

The spelling of 120201122102220 in words is "one hundred twenty trillion, two hundred one billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 22391 44782 67173 89564 111955 134346 201519 223910 268692 335865 403038 447820 671730 727409 806076 918031 1007595 1343460 1454818 1836062 2015190 2182227 2754093 2909636 3637045 3672124 4030380 4364454 4590155 5508186 6546681 7274090 8262279 8728908 9180310 10911135 11016372 13093362 13770465 14548180 16524558 18360620 21822270 26186724 27540930 29823769 32733405 33049116 41311395 43644540 55081860 59647538 65466810 82622790 89471307 119295076 130933620 149118845 165245580 178942614 268413921 298237690 357885228 447356535 536827842 596475380 894713070 1073655684 1342069605 1789426140 2684139210 5368278420 16287414919 32574829838 48862244757 65149659676 81437074595 97724489514 146586734271 162874149190 195448979028 244311223785 293173468542 325748298380 488622447570 586346937084 667784011679 732933671355 977244895140 1335568023358 1465867342710 2003352035037 2671136046716 2931734685420 3338920058395 4006704070074 6010056105111 6677840116790 8013408140148 10016760175185 12020112210222 13355680233580 20033520350370 24040224420444 30050280525555 40067040700740 60100561051110 120201122102220