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20221121010012 = 223132921031496399
BaseRepresentation
bin1001001100100000110001…
…01111000001100101011100
32122121010020200122200001020
410212100120233001211130
510122300323434310022
6111001242120444140
74154633141422356
oct446203057014534
978533220580036
1020221121010012
11649680271270a
122326ba4619650
13b38ac7306570
144dc9c94720d6
15250ee76ac35c
hex126418bc195c

20221121010012 has 144 divisors (see below), whose sum is σ = 53135559859200. Its totient is φ = 5949008061696.

The previous prime is 20221121010001. The next prime is 20221121010037. The reversal of 20221121010012 is 21001012112202.

It is a junction number, because it is equal to n+sod(n) for n = 20221121009973 and 20221121010000.

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 47 ways as a sum of consecutive naturals, for example, 12764989 + ... + 14261387.

Almost surely, 220221121010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221121010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26567779929600).

20221121010012 is an abundant number, since it is smaller than the sum of its proper divisors (32914438849188).

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

20221121010012 is a wasteful number, since it uses less digits than its factorization.

20221121010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496580 (or 1496549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20221121010012 its reverse (21001012112202), we get a palindrome (41222133122214).

The spelling of 20221121010012 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 103 116 156 174 206 309 348 377 412 618 754 841 1131 1236 1339 1508 1682 2262 2523 2678 2987 3364 4017 4524 5046 5356 5974 8034 8961 10092 10933 11948 16068 17922 21866 32799 35844 38831 43732 65598 77662 86623 116493 131196 155324 173246 232986 259869 346492 465972 519738 1039476 1126099 1496399 2252198 2992798 3378297 4489197 4504396 5985596 6756594 8978394 13513188 17956788 19453187 38906374 43395571 58359561 77812748 86791142 116719122 130186713 154129097 173582284 233438244 260373426 308258194 462387291 520746852 564142423 616516388 924774582 1128284846 1258471559 1692427269 1849549164 2003678261 2256569692 2516943118 3384854538 3775414677 4007356522 4469743813 5033886236 6011034783 6769709076 7550829354 8014713044 8939487626 12022069566 13409231439 15101658708 16360130267 17878975252 24044139132 26818462878 32720260534 49080390801 53636925756 58106669569 65440521068 98160781602 116213339138 129622570577 174320008707 196321563204 232426678276 259245141154 348640017414 388867711731 518490282308 697280034828 777735423462 1555470846924 1685093417501 3370186835002 5055280252503 6740373670004 10110560505006 20221121010012