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20002121002112 = 278389173122279
BaseRepresentation
bin1001000110001000110110…
…10100010010110010000000
32121211011222012111120120112
410203010123110102302000
510110203320434031422
6110312503022330452
74133051130160334
oct443043324226200
977734865446515
1020002121002112
116411940940347
1222b0665a29a28
13b21265846182
144d2171c137c4
1524a47b19aee2
hex12311b512c80

20002121002112 has 128 divisors (see below), whose sum is σ = 41017260816000. Its totient is φ = 9712997392384.

The previous prime is 20002121002109. The next prime is 20002121002147. The reversal of 20002121002112 is 21120012120002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163516589 + ... + 163638867.

It is an arithmetic number, because the mean of its divisors is an integer number (320447350125).

Almost surely, 220002121002112 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 20002121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508630408000).

20002121002112 is an abundant number, since it is smaller than the sum of its proper divisors (21015139813888).

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

20002121002112 is a wasteful number, since it uses less digits than its factorization.

20002121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122638 (or 122626 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20002121002112 its reverse (21120012120002), we get a palindrome (41122133122114).

The spelling of 20002121002112 in words is "twenty trillion, two billion, one hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 89 128 166 173 178 332 346 356 664 692 712 1328 1384 1424 2656 2768 2848 5312 5536 5696 7387 10624 11072 11392 14359 14774 15397 22144 28718 29548 30794 57436 59096 61588 114872 118192 122279 123176 229744 236384 244558 246352 459488 472768 489116 492704 918976 945536 978232 985408 1277951 1837952 1956464 1970816 2555902 3912928 5111804 7825856 10149157 10223608 10882831 15651712 20298314 20447216 21154267 21765662 40596628 40894432 42308534 43531324 81193256 81788864 84617068 87062648 162386512 163577728 169234136 174125296 324773024 338468272 348250592 649546048 676936544 696501184 903274973 1299092096 1353873088 1393002368 1755804161 1806549946 1882729763 2707746176 3511608322 3613099892 3765459526 7023216644 7226199784 7530919052 14046433288 14452399568 15061838104 28092866576 28904799136 30123676208 56185733152 57809598272 60247352416 112371466304 115619196544 120494704832 156266570329 224742932608 240989409664 312533140658 625066281316 1250132562632 2500265125264 5000530250528 10001060501056 20002121002112