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120201120102222 = 232101140957018231
BaseRepresentation
bin11011010101001010000001…
…000100001011011101001110
3120202121010002201201210211100
4123111022001010023131032
5111223333343221232342
61103351344322403530
734214146544640255
oct3325120104133516
9522533081653740
10120201120102222
113533301072a825
1211593947b005a6
13520bbbc817613
142197a9dc0379c
15dd6a910d1e4c
hex6d528110b74e

120201120102222 has 96 divisors (see below), whose sum is σ = 263279149398720. Its totient is φ = 39630412800000.

The previous prime is 120201120102211. The next prime is 120201120102227. The reversal of 120201120102222 is 222201021102021.

It is a happy number.

120201120102222 is a `hidden beast` number, since 1 + 20 + 201 + 120 + 102 + 222 = 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 = 120201120102195 and 120201120102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201120102227) 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, 14603460847 + ... + 14603469077.

It is an arithmetic number, because the mean of its divisors is an integer number (2742491139570).

Almost surely, 2120201120102222 is an apocalyptic number.

120201120102222 is an abundant number, since it is smaller than the sum of its proper divisors (143078029296498).

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

120201120102222 is a wasteful number, since it uses less digits than its factorization.

120201120102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15447 counting only the distinct ones).

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

Adding to 120201120102222 its reverse (222201021102021), we get a palindrome (342402141204243).

The spelling of 120201120102222 in words is "one hundred twenty trillion, two hundred one billion, one hundred twenty million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1409 1818 2818 4227 5701 8231 8454 11402 12681 16462 17103 24693 25362 34206 49386 51309 74079 102618 142309 148158 284618 426927 575801 831331 853854 1151602 1280781 1662662 1727403 2493993 2561562 3454806 4987986 5182209 7481979 8032709 10364418 11597479 14963958 16065418 23194958 24098127 34792437 46924931 48196254 69584874 72294381 93849862 104377311 140774793 144588762 208754622 281549586 422324379 811303609 844648758 1171345379 1622607218 2342690758 2433910827 3514036137 4739418031 4867821654 7028072274 7301732481 9478836062 10542108411 14218254093 14603464962 21084216822 28436508186 42654762279 66117227779 85309524558 132234455558 198351683337 396703366674 595055050011 1190110100022 6677840005679 13355680011358 20033520017037 40067040034074 60100560051111 120201120102222