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12013300222200 = 23325229230139851
BaseRepresentation
bin1010111011010001000001…
…1111100000100011111000
31120112110102112210101200200
42232310100133200203320
53033311214324102300
641314500044002200
72346634531023354
oct256642037404370
946473375711620
1012013300222200
1139118a2875682
121420311b30360
13691b07039554
142d7638178464
1515c7608c7200
hexaed107e08f8

12013300222200 has 144 divisors (see below), whose sum is σ = 41735862160200. Its totient is φ = 3093079584000.

The previous prime is 12013300222199. The next prime is 12013300222351. The reversal of 12013300222200 is 222200331021.

12013300222200 is a `hidden beast` number, since 120 + 1 + 3 + 300 + 22 + 220 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 115017726 + ... + 115122125.

Almost surely, 212013300222200 is an apocalyptic number.

12013300222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013300222200 is an abundant number, since it is smaller than the sum of its proper divisors (29722561938000).

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

12013300222200 is a wasteful number, since it uses less digits than its factorization.

12013300222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230139902 (or 230139890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12013300222200 its reverse (222200331021), we get a palindrome (12235500553221).

The spelling of 12013300222200 in words is "twelve trillion, thirteen billion, three hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 2088 2175 2610 2900 3480 4350 5220 5800 6525 8700 10440 13050 17400 26100 52200 230139851 460279702 690419553 920559404 1150699255 1380839106 1841118808 2071258659 2301398510 2761678212 3452097765 4142517318 4602797020 5523356424 5753496275 6674055679 6904195530 8285034636 9205594040 10356293295 11506992550 13348111358 13808391060 16570069272 17260488825 20022167037 20712586590 23013985100 26696222716 27616782120 33370278395 34520977650 40044334074 41425173180 46027970200 51781466475 53392445432 60066501111 66740556790 69041955300 80088668148 82850346360 100110835185 103562932950 120133002222 133481113580 138083910600 160177336296 166851391975 200221670370 207125865900 240266004444 266962227160 300332505555 333702783950 400443340740 414251731800 480532008888 500554175925 600665011110 667405567900 800886681480 1001108351850 1201330022220 1334811135800 1501662527775 2002216703700 2402660044440 3003325055550 4004433407400 6006650111100 12013300222200