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12022122121020 = 22335112023926283
BaseRepresentation
bin1010111011110001111001…
…0100011000011100111100
31120120022012100202021211000
42232330132110120130330
53033432301230333040
641322515303530300
72350366251645114
oct256743624303474
946508170667730
1012022122121020
11391560a580850
121421b74459990
136928b192c01b
142d7c33a6c044
1515caca123130
hexaef1e51873c

12022122121020 has 96 divisors (see below), whose sum is σ = 40802353885440. Its totient is φ = 2914453846080.

The previous prime is 12022122121001. The next prime is 12022122121021. The reversal of 12022122121020 is 2012122122021.

It is a happy number.

12022122121020 is a `hidden beast` number, since 1 + 202 + 212 + 21 + 210 + 20 = 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 = 12022122120984 and 12022122121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022122121021) 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, 1011957202 + ... + 1011969081.

It is an arithmetic number, because the mean of its divisors is an integer number (425024519640).

Almost surely, 212022122121020 is an apocalyptic number.

12022122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022122121020 is an abundant number, since it is smaller than the sum of its proper divisors (28780231764420).

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

12022122121020 is a wasteful number, since it uses less digits than its factorization.

12022122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023926312 (or 2023926304 counting only the distinct ones).

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

Adding to 12022122121020 its reverse (2012122122021), we get a palindrome (14034244243041).

The spelling of 12022122121020 in words is "twelve trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 2023926283 4047852566 6071778849 8095705132 10119631415 12143557698 18215336547 20239262830 22263189113 24287115396 30358894245 36430673094 40478525660 44526378226 54646009641 60717788490 66789567339 72861346188 89052756452 91076682735 109292019282 111315945565 121435576980 133579134678 182153365470 200368702017 218584038564 222631891130 267158269356 273230048205 333947836695 364306730940 400737404034 445263782260 546460096410 601106106051 667895673390 801474808068 1001843510085 1092920192820 1202212212102 1335791346780 2003687020170 2404424424204 3005530530255 4007374040340 6011061060510 12022122121020