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12122021100210 = 2357467161376631
BaseRepresentation
bin1011000001100110000011…
…0000101111101010110010
31120220212001111022020120020
42300121200300233222302
53042101344400201320
641440440221424310
72360533661160240
oct260314060575262
946825044266506
1012122021100210
113953a1398847a
1214393b440b096
1369c14252b428
142dc9cd513790
151604c5555940
hexb0660c2fab2

12122021100210 has 128 divisors (see below), whose sum is σ = 33341261451264. Its totient is φ = 2763064462080.

The previous prime is 12122021100209. The next prime is 12122021100251. The reversal of 12122021100210 is 1200112022121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122021100210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158148595 + ... + 158225225.

It is an arithmetic number, because the mean of its divisors is an integer number (260478605088).

Almost surely, 212122021100210 is an apocalyptic number.

12122021100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122021100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670630725632).

12122021100210 is an abundant number, since it is smaller than the sum of its proper divisors (21219240351054).

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

12122021100210 is a wasteful number, since it uses less digits than its factorization.

12122021100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78728.

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

Adding to 12122021100210 its reverse (1200112022121), we get a palindrome (13322133122331).

The spelling of 12122021100210 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 467 934 1401 1613 2335 2802 3226 3269 4670 4839 6538 7005 8065 9678 9807 11291 14010 16130 16345 19614 22582 24195 32690 33873 48390 49035 56455 67746 76631 98070 112910 153262 169365 229893 338730 383155 459786 536417 753271 766310 1072834 1149465 1506542 1609251 2259813 2298930 2682085 3218502 3766355 4519626 5272897 5364170 7532710 8046255 10545794 11299065 15818691 16092510 22598130 26364485 31637382 35786677 52728970 71573354 79093455 107360031 123605803 158186910 178933385 214720062 247211606 250506739 357866770 370817409 501013478 536800155 618029015 741634818 751520217 865240621 1073600310 1236058030 1252533695 1503040434 1730481242 1854087045 2505067390 2595721863 3708174090 3757601085 4326203105 5191443726 7515202170 8652406210 12978609315 25957218630 57723910001 115447820002 173171730003 288619550005 346343460006 404067370007 577239100010 808134740014 865858650015 1212202110021 1731717300030 2020336850035 2424404220042 4040673700070 6061010550105 12122021100210