Search a number
-
+
12111222212200 = 2352857481714669
BaseRepresentation
bin1011000000111101110100…
…0110010000011001101000
31120212211011220021220010001
42300033131012100121220
53041412240341242300
641431452500032344
72360002243142566
oct260173506203150
946784156256101
1012111222212200
11394a382222041
12143729b9926b4
1369b11118a277
142dc287234a36
1516009249016a
hexb03dd190668

12111222212200 has 96 divisors (see below), whose sum is σ = 28199223538200. Its totient is φ = 4837501706240.

The previous prime is 12111222212123. The next prime is 12111222212207. The reversal of 12111222212200 is 221222211121.

It can be written as a sum of positive squares in 12 ways, for example, as 1352415488356 + 10758806723844 = 1162934^2 + 3280062^2 .

It is not an unprimeable number, because it can be changed into a prime (12111222212207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 825626466 + ... + 825641134.

Almost surely, 212111222212200 is an apocalyptic number.

12111222212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111222212200 is an abundant number, since it is smaller than the sum of its proper divisors (16088001326000).

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

12111222212200 is a wasteful number, since it uses less digits than its factorization.

12111222212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359 (or 20350 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12111222212200 its reverse (221222211121), we get a palindrome (12332444423321).

The spelling of 12111222212200 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 857 1714 3428 4285 4817 6856 8570 9634 14669 17140 19268 21425 24085 29338 34280 38536 42850 48170 58676 73345 85700 96340 117352 120425 146690 171400 192680 240850 293380 366725 481700 586760 733450 963400 1466900 2933800 4128169 8256338 12571333 16512676 20640845 25142666 33025352 41281690 50285332 62856665 70660573 82563380 100570664 103204225 125713330 141321146 165126760 206408450 251426660 282642292 314283325 353302865 412816900 502853320 565284584 628566650 706605730 825633800 1257133300 1413211460 1766514325 2514266600 2826422920 3533028650 7066057300 14132114600 60556111061 121112222122 242224444244 302780555305 484448888488 605561110610 1211122221220 1513902776525 2422244442440 3027805553050 6055611106100 12111222212200