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2122223010012 = 22327449157111939
BaseRepresentation
bin11110111000011110010…
…110010100000011011100
321111212211101000001220200
4132320132112110003130
5234232303042310022
64302534044143500
7306216443643150
oct36703626240334
97455741001820
102122223010012
11749036621266
122a3374237b90
13125181178581
1474a05143060
153a30d1e7bac
hex1ee1e5940dc

2122223010012 has 144 divisors (see below), whose sum is σ = 6148947168000. Its totient is φ = 604563240960.

The previous prime is 2122223010007. The next prime is 2122223010029. The reversal of 2122223010012 is 2100103222212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177749539 + ... + 177761477.

It is an arithmetic number, because the mean of its divisors is an integer number (42701022000).

Almost surely, 22122223010012 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 2122223010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074473584000).

2122223010012 is an abundant number, since it is smaller than the sum of its proper divisors (4026724157988).

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

2122223010012 is a wasteful number, since it uses less digits than its factorization.

2122223010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13976 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122223010012 its reverse (2100103222212), we get a palindrome (4222326232224).

The spelling of 2122223010012 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-three million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1571 1796 2694 3142 3143 4041 4713 5388 6284 6286 8082 9426 9429 10997 11939 12572 14139 16164 18852 18858 21994 23878 28278 28287 32991 35817 37716 43988 47756 56556 56574 65982 71634 83573 98973 107451 113148 131964 143268 167146 197946 214902 250719 334292 395892 429804 501438 705379 752157 1002876 1410758 1504314 2116137 2821516 3008628 4232274 4937653 5360611 6348411 8464548 9875306 10721222 12696822 14812959 16081833 18756169 19750612 21442444 25393644 29625918 32163666 37512338 37524277 44438877 48245499 56268507 59251836 64327332 75024676 75048554 88877754 96490998 112537014 112572831 131293183 150097108 168805521 177755508 192981996 225074028 225145662 262586366 337611042 337718493 393879549 450291324 525172732 675222084 675436986 787759098 1181638647 1350873972 1575518196 2363277294 4726554588 8421519881 16843039762 25264559643 33686079524 50529119286 58950639167 75793678929 101058238572 117901278334 151587357858 176851917501 235802556668 303174715716 353703835002 530555752503 707407670004 1061111505006 2122223010012