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120102202200204 = 2232719721111465731
BaseRepresentation
bin11011010011101101111001…
…000110010101000010001100
3120202020122202222020201221200
4123103231321012111002030
5111220223302230401304
61103234105012425500
734204045350434340
oct3323557106250214
9522218688221850
10120102202200204
11352a50700a1984
1211578740618290
13520278725b353
142192d98781620
15dd4201d93e39
hex6d3b7919508c

120102202200204 has 144 divisors (see below), whose sum is σ = 350375892362496. Its totient is φ = 33978920169600.

The previous prime is 120102202200179. The next prime is 120102202200217. The reversal of 120102202200204 is 402002202201021.

120102202200204 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 220 + 220 + 0 + 204 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4742019 + ... + 16207749.

It is an arithmetic number, because the mean of its divisors is an integer number (2433165919184).

Almost surely, 2120102202200204 is an apocalyptic number.

120102202200204 is a gapful number since it is divisible by the number (14) 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 120102202200204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175187946181248).

120102202200204 is an abundant number, since it is smaller than the sum of its proper divisors (230273690162292).

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

120102202200204 is a wasteful number, since it uses less digits than its factorization.

120102202200204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11466156 (or 11466151 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120102202200204 its reverse (402002202201021), we get a palindrome (522104404401225).

The spelling of 120102202200204 in words is "one hundred twenty trillion, one hundred two billion, two hundred two million, two hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 211 252 394 422 591 633 788 844 1182 1266 1379 1477 1773 1899 2364 2532 2758 2954 3546 3798 4137 4431 5516 5908 7092 7596 8274 8862 12411 13293 16548 17724 24822 26586 41567 49644 53172 83134 124701 166268 249402 290969 374103 498804 581938 748206 872907 1163876 1496412 1745814 2618721 3491628 5237442 10474884 11465731 22931462 34397193 45862924 68794386 80260117 103191579 137588772 160520234 206383158 240780351 321040468 412766316 481560702 722341053 963121404 1444682106 2258749007 2419269241 2889364212 4517498014 4838538482 6776247021 7257807723 9034996028 9677076964 13552494042 14515615446 15811243049 16934884687 20328741063 21773423169 27104988084 29031230892 31622486098 33869769374 40657482126 43546846338 47433729147 50804654061 63244972196 67739538748 81314964252 87093692676 94867458294 101609308122 142301187441 152413962183 189734916588 203218616244 284602374882 304827924366 476596040477 569204749764 609655848732 953192080954 1429788121431 1906384161908 2859576242862 3336172283339 4289364364293 5719152485724 6672344566678 8578728728586 10008516850017 13344689133356 17157457457172 20017033700034 30025550550051 40034067400068 60051101100102 120102202200204