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12141123400120 = 23511132392285827
BaseRepresentation
bin1011000010101101001101…
…0110001111000110111000
31120222200100202122121210111
42300223103112033012320
53042410010042300440
641453315522154104
72362111233064561
oct260532326170670
946880322577714
1012141123400120
1139610267060a0
1214410457b2934
136a0b97c36480
142dd8c24bb168
15160c4259b4ea
hexb0ad358f1b8

12141123400120 has 128 divisors (see below), whose sum is σ = 33488681264640. Its totient is φ = 3898153290240.

The previous prime is 12141123400099. The next prime is 12141123400129. The reversal of 12141123400120 is 2100432114121.

12141123400120 is digitally balanced in base 2, 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 12141123400091 and 12141123400100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141123400129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46011354 + ... + 46274473.

It is an arithmetic number, because the mean of its divisors is an integer number (261630322380).

Almost surely, 212141123400120 is an apocalyptic number.

12141123400120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141123400120 is an abundant number, since it is smaller than the sum of its proper divisors (21347557864520).

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

12141123400120 is a wasteful number, since it uses less digits than its factorization.

12141123400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92285885 (or 92285881 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12141123400120 its reverse (2100432114121), we get a palindrome (14241555514241).

The spelling of 12141123400120 in words is "twelve trillion, one hundred forty-one billion, one hundred twenty-three million, four hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 23 26 40 44 46 52 55 65 88 92 104 110 115 130 143 184 220 230 253 260 286 299 440 460 506 520 572 598 715 920 1012 1144 1196 1265 1430 1495 2024 2392 2530 2860 2990 3289 5060 5720 5980 6578 10120 11960 13156 16445 26312 32890 65780 131560 92285827 184571654 369143308 461429135 738286616 922858270 1015144097 1199715751 1845716540 2030288194 2122574021 2399431502 3691433080 4060576388 4245148042 4798863004 5075720485 5998578755 8121152776 8490296084 9597726008 10151440970 10612870105 11997157510 13196873261 16980592168 20302881940 21225740210 23348314231 23994315020 26393746522 27593462273 40605763880 42451480420 46696628462 47988630040 52787493044 55186924546 65984366305 84902960840 93393256924 105574986088 110373849092 116741571155 131968732610 137967311365 186786513848 220747698184 233483142310 263937465220 275934622730 303528085003 466966284620 527874930440 551869245460 607056170006 933932569240 1103738490920 1214112340012 1517640425015 2428224680024 3035280850030 6070561700060 12141123400120