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12000222221100 = 22352372234847987
BaseRepresentation
bin1010111010100000010011…
…1110111001001100101100
31120111012200010020002211120
42232220010332321030230
53033102423342033400
641304454225020540
72345662456606311
oct256500476711454
946435603202746
1012000222221100
1139072a1664903
121419882184750
13690801757269
142d6b57306d08
1515c2476b8ca0
hexaea04fb932c

12000222221100 has 144 divisors (see below), whose sum is σ = 35818952107008. Its totient is φ = 3099608328960.

The previous prime is 12000222221093. The next prime is 12000222221177. The reversal of 12000222221100 is 112222200021.

12000222221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12000222221100.

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, 51307 + ... + 4899293.

Almost surely, 212000222221100 is an apocalyptic number.

12000222221100 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 12000222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909476053504).

12000222221100 is an abundant number, since it is smaller than the sum of its proper divisors (23818729885908).

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

12000222221100 is a wasteful number, since it uses less digits than its factorization.

12000222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848264 (or 4848257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12000222221100 its reverse (112222200021), we get a palindrome (12112444421121).

The spelling of 12000222221100 in words is "twelve trillion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 223 300 370 444 446 555 669 740 892 925 1110 1115 1338 1850 2220 2230 2676 2775 3345 3700 4460 5550 5575 6690 8251 11100 11150 13380 16502 16725 22300 24753 33004 33450 41255 49506 66900 82510 99012 123765 165020 206275 247530 412550 495060 618825 825100 1237650 2475300 4847987 9695974 14543961 19391948 24239935 29087922 48479870 58175844 72719805 96959740 121199675 145439610 179375519 242399350 290879220 358751038 363599025 484798700 538126557 717502076 727198050 896877595 1076253114 1081101101 1454396100 1793755190 2152506228 2162202202 2690632785 3243303303 3587510380 4324404404 4484387975 5381265570 5405505505 6486606606 8968775950 10762531140 10811011010 12973213212 13453163925 16216516515 17937551900 21622022020 26906327850 27027527525 32433033030 40000740737 53812655700 54055055050 64866066060 80001481474 81082582575 108110110100 120002222211 160002962948 162165165150 200003703685 240004444422 324330330300 400007407370 480008888844 600011111055 800014814740 1000018518425 1200022222110 2000037036850 2400044444220 3000055555275 4000074073700 6000111110550 12000222221100