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11201222111120 = 2453123388122003
BaseRepresentation
bin1010001011111111110011…
…0111010110111110010000
31110122211022102120001002122
42202333330313112332100
52432010100330023440
635453434223433412
72234155503666446
oct242777467267620
943584272501078
1011201222111120
1136294589592a8
12130aa56755868
136333699a99b2
142aa1dbaa0b96
151465820857b5
hexa2ffcdd6f90

11201222111120 has 160 divisors (see below), whose sum is σ = 27030183957504. Its totient is φ = 4312251187200.

The previous prime is 11201222111099. The next prime is 11201222111129. The reversal of 11201222111120 is 2111122210211.

It is not an unprimeable number, because it can be changed into a prime (11201222111129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509066039 + ... + 509088041.

Almost surely, 211201222111120 is an apocalyptic number.

11201222111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515091978752).

11201222111120 is an abundant number, since it is smaller than the sum of its proper divisors (15828961846384).

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

11201222111120 is a wasteful number, since it uses less digits than its factorization.

11201222111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23161 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11201222111120 its reverse (2111122210211), we get a palindrome (13312344321331).

Subtracting from 11201222111120 its reverse (2111122210211), we obtain a palindrome (9090099900909).

The spelling of 11201222111120 in words is "eleven trillion, two hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 233 248 310 466 496 620 881 932 1165 1240 1762 1864 2330 2480 3524 3728 4405 4660 7048 7223 8810 9320 14096 14446 17620 18640 22003 27311 28892 35240 36115 44006 54622 57784 70480 72230 88012 109244 110015 115568 136555 144460 176024 205273 218488 220030 273110 288920 352048 410546 436976 440060 546220 577840 682093 821092 880120 1026365 1092440 1364186 1642184 1760240 2052730 2184880 2728372 3284368 3410465 4105460 5126699 5456744 6363463 6820930 8210920 10253398 10913488 12726926 13641860 16421840 19384643 20506796 25453852 25633495 27283720 31817315 38769286 41013592 50907704 51266990 54567440 63634630 77538572 82027184 96923215 101815408 102533980 127269260 155077144 158927669 193846430 205067960 254538520 310154288 317855338 387692860 410135920 509077040 600923933 635710676 775385720 794638345 1201847866 1271421352 1550771440 1589276690 2403695732 2542842704 3004619665 3178553380 4516621819 4807391464 6009239330 6357106760 9033243638 9614782928 12018478660 12714213520 18066487276 22583109095 24036957320 36132974552 45166218190 48073914640 72265949104 90332436380 140015276389 180664872760 280030552778 361329745520 560061105556 700076381945 1120122211112 1400152763890 2240244422224 2800305527780 5600611055560 11201222111120