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12122102020120 = 2351953527357073
BaseRepresentation
bin1011000001100110010110…
…0101011011100000011000
31120220212021010120101210221
42300121211211123200120
53042102031104120440
641440452232045424
72360535663034321
oct260314545334030
946825233511727
1012122102020120
113953a55627834
121439417533874
1369c156221431
142dc9da179448
151604cc6dbd4a
hexb066595b818

12122102020120 has 128 divisors (see below), whose sum is σ = 29258004427200. Its totient is φ = 4506032553984.

The previous prime is 12122102020117. The next prime is 12122102020123. The reversal of 12122102020120 is 2102020122121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12122102020117) and next prime (12122102020123).

It is a junction number, because it is equal to n+sod(n) for n = 12122102020094 and 12122102020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102020123) by changing a digit.

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, 212367904 + ... + 212424976.

Almost surely, 212122102020120 is an apocalyptic number.

12122102020120 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 12122102020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629002213600).

12122102020120 is an abundant number, since it is smaller than the sum of its proper divisors (17135902407080).

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

12122102020120 is a wasteful number, since it uses less digits than its factorization.

12122102020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62429 (or 62425 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122102020120 its reverse (2102020122121), we get a palindrome (14224122142241).

The spelling of 12122102020120 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 1007 1060 2014 2120 4028 5035 5273 8056 10070 10546 20140 21092 26365 40280 42184 52730 57073 100187 105460 114146 200374 210920 228292 279469 285365 400748 456584 500935 558938 570730 801496 1001870 1084387 1117876 1141460 1397345 2003740 2168774 2235752 2282920 2794690 3024869 4007480 4337548 5309911 5421935 5589380 6049738 8675096 10619822 10843870 11178760 12099476 15124345 21239644 21687740 24198952 26549555 30248690 42479288 43375480 53099110 57472511 60497380 106198220 114945022 120994760 212396440 229890044 287362555 300945929 459780088 574725110 601891858 1149450220 1203783716 1504729645 2298900440 2407567432 3009459290 5717972651 6018918580 11435945302 12037837160 15950134237 22871890604 28589863255 31900268474 45743781208 57179726510 63800536948 79750671185 114359453020 127601073896 159501342370 228718906040 303052550503 319002684740 606105101006 638005369480 1212210202012 1515262752515 2424420404024 3030525505030 6061051010060 12122102020120