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12213123223312 = 24112171013674101
BaseRepresentation
bin1011000110111001011011…
…0111110000111100010000
31121020120012120000121100201
42301232112313300330100
53100044434021121222
641550344212224544
72400240402351544
oct261562667607420
947216176017321
1012213123223312
113989613733a00
121452b9a30b154
136a790079584b
14303192943a24
15162a58537427
hexb1b96df0f10

12213123223312 has 120 divisors (see below), whose sum is σ = 27812320194456. Its totient is φ = 5173132800000.

The previous prime is 12213123223309. The next prime is 12213123223313. The reversal of 12213123223312 is 21332232131221.

It can be written as a sum of positive squares in 4 ways, for example, as 4687121080576 + 7526002142736 = 2164976^2 + 2743356^2 .

It is not an unprimeable number, because it can be changed into a prime (12213123223313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1487062 + ... + 5161162.

Almost surely, 212213123223312 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 12213123223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906160097228).

12213123223312 is an abundant number, since it is smaller than the sum of its proper divisors (15599196971144).

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

12213123223312 is a wasteful number, since it uses less digits than its factorization.

12213123223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674249 (or 3674232 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

Adding to 12213123223312 its reverse (21332232131221), we get a palindrome (33545355354533).

The spelling of 12213123223312 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-three million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 101 121 136 176 187 202 242 272 374 404 484 748 808 968 1111 1496 1616 1717 1936 2057 2222 2992 3434 4114 4444 6868 8228 8888 12221 13736 16456 17776 18887 24442 27472 32912 37774 48884 75548 97768 151096 195536 207757 302192 415514 831028 1662056 3324112 3674101 7348202 14696404 29392808 40415111 58785616 62459717 80830222 124919434 161660444 249838868 323320888 371084201 444566221 499677736 646641776 687056887 742168402 889132442 999355472 1374113774 1484336804 1778264884 2748227548 2968673608 3556529768 4081926211 5496455096 5937347216 6308431417 7113059536 7557625757 8163852422 10992910192 12616862834 15115251514 16327704844 25233725668 30230503028 32655409688 44901188321 50467451336 60461006056 65310819376 69392745587 89802376642 100934902672 120922012112 138785491174 179604753284 277570982348 359209506568 555141964696 718419013136 763320201457 1110283929392 1526640402914 3053280805828 6106561611656 12213123223312