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12202111332120 = 2335373198185933
BaseRepresentation
bin1011000110010000011010…
…0000101110111100011000
31121012111210010012120110210
42301210012200232330120
53044404411000111440
641541323401211120
72366400460001523
oct261440640567430
947174703176423
1012202111332120
113984982814086
121450a26490aa0
136a68672668b8
1430282a259bba
151626118e9a80
hexb190682ef18

12202111332120 has 128 divisors (see below), whose sum is σ = 37597307451840. Its totient is φ = 3165817374720.

The previous prime is 12202111332101. The next prime is 12202111332143. The reversal of 12202111332120 is 2123311120221.

It is a super-2 number, since 2×122021113321202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141952674 + ... + 142038606.

Almost surely, 212202111332120 is an apocalyptic number.

12202111332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202111332120 is an abundant number, since it is smaller than the sum of its proper divisors (25395196119720).

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

12202111332120 is a wasteful number, since it uses less digits than its factorization.

12202111332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117965 (or 117961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12202111332120 its reverse (2123311120221), we get a palindrome (14325422452341).

The spelling of 12202111332120 in words is "twelve trillion, two hundred two billion, one hundred eleven million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 31981 63962 85933 95943 127924 159905 171866 191886 255848 257799 319810 343732 383772 429665 479715 515598 639620 687464 767544 859330 959430 1031196 1183297 1279240 1288995 1718660 1918860 2062392 2366594 2577990 3179521 3437320 3549891 3837720 4733188 5155980 5916485 6359042 7099782 9466376 9538563 10311960 11832970 12718084 14199564 15897605 17749455 19077126 23665940 25436168 28399128 31795210 35498910 38154252 47331880 47692815 63590420 70997820 76308504 95385630 127180840 141995640 190771260 381542520 2748223273 5496446546 8244669819 10992893092 13741116365 16489339638 21985786184 27482232730 32978679276 41223349095 54964465460 65957358552 82446698190 101684261101 109928930920 164893396380 203368522202 305052783303 329786792760 406737044404 508421305505 610105566606 813474088808 1016842611010 1220211133212 1525263916515 2033685222020 2440422266424 3050527833030 4067370444040 6101055666060 12202111332120