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20221211022120 = 2334510161793213
BaseRepresentation
bin1001001100100000111100…
…00110011001001100101000
32122121010110222000202110000
410212100132012121030220
510122301020010201440
6111001255054023000
74154635313465343
oct446203606311450
978533428022400
1020221211022120
116496849502089
12232700a7a7a60
13b38b0cb60b74
144dc9d73c345a
1525100053c730
hex12641e199328

20221211022120 has 160 divisors (see below), whose sum is σ = 68638666246920. Its totient is φ = 5338933516800.

The previous prime is 20221211022119. The next prime is 20221211022127. The reversal of 20221211022120 is 2122011212202.

It is a happy number.

20221211022120 is a `hidden beast` number, since 20 + 221 + 211 + 0 + 2 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19403514023364 + 817696998756 = 4404942^2 + 904266^2 .

It is a super-2 number, since 2×202212110221202 (a number of 27 digits) contains 22 as substring.

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 = 20221211022093 and 20221211022102.

It is not an unprimeable number, because it can be changed into a prime (20221211022127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30569367 + ... + 31223846.

Almost surely, 220221211022120 is an apocalyptic number.

20221211022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221211022120 is an abundant number, since it is smaller than the sum of its proper divisors (48417455224800).

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

20221211022120 is a wasteful number, since it uses less digits than its factorization.

20221211022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61793337 (or 61793324 counting only the distinct ones).

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

Adding to 20221211022120 its reverse (2122011212202), we get a palindrome (22343222234322).

The spelling of 20221211022120 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 101 108 120 135 162 180 202 216 270 303 324 360 404 405 505 540 606 648 808 810 909 1010 1080 1212 1515 1620 1818 2020 2424 2727 3030 3240 3636 4040 4545 5454 6060 7272 8181 9090 10908 12120 13635 16362 18180 21816 27270 32724 36360 40905 54540 65448 81810 109080 163620 327240 61793213 123586426 185379639 247172852 308966065 370759278 494345704 556138917 617932130 741518556 926898195 1112277834 1235864260 1483037112 1668416751 1853796390 2224555668 2471728520 2780694585 3336833502 3707592780 4449111336 5005250253 5561389170 6241114513 6673667004 7415185560 8342083755 10010500506 11122778340 12482229026 13347334008 16684167510 18723343539 20021001012 22245556680 24964458052 25026251265 31205572565 33368335020 37446687078 40042002024 49928916104 50052502530 56170030617 62411145130 66736670040 74893374156 93616717695 100105005060 112340061234 124822290260 149786748312 168510091851 187233435390 200210010120 224680122468 249644580520 280850153085 337020183702 374466870780 449360244936 505530275553 561700306170 674040367404 748933741560 842550459255 1011060551106 1123400612340 1348080734808 1685100918510 2022121102212 2246801224680 2527651377765 3370201837020 4044242204424 5055302755530 6740403674040 10110605511060 20221211022120