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12112222212200 = 23521110154510451
BaseRepresentation
bin1011000001000001100010…
…1100111101000001101000
31120212220202120222011020002
42300100120230331001220
53041421312341242300
641432140021322132
72360036105043515
oct260203054750150
946786676864202
1012112222212200
11394a845745920
12143751a866348
1369b2403c7446
142dc33dd8230c
151601001715d5
hexb0418b3d068

12112222212200 has 96 divisors (see below), whose sum is σ = 31025168860320. Its totient is φ = 4360836000000.

The previous prime is 12112222212193. The next prime is 12112222212221. The reversal of 12112222212200 is 221222221121.

It is a super-2 number, since 2×121122222122002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27033026 + ... + 27477425.

It is an arithmetic number, because the mean of its divisors is an integer number (323178842295).

Almost surely, 212112222212200 is an apocalyptic number.

12112222212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112222212200 is an abundant number, since it is smaller than the sum of its proper divisors (18912946648120).

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

12112222212200 is a wasteful number, since it uses less digits than its factorization.

12112222212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54510579 (or 54510570 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12112222212200 its reverse (221222221121), we get a palindrome (12333444433321).

It can be divided in two parts, 121122 and 22212200, that added together give a palindrome (22333322).

The spelling of 12112222212200 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 54510451 109020902 218041804 272552255 436083608 545104510 599614961 1090209020 1199229922 1362761275 2180418040 2398459844 2725522550 2998074805 4796919688 5451045100 5505555551 5996149610 10902090200 11011111102 11992299220 14990374025 22022222204 23984598440 27527777755 29980748050 44044444408 55055555510 59961496100 60561111061 110111111020 119922992200 121122222122 137638888775 220222222040 242244444244 275277777550 302805555305 484488888488 550555555100 605611110610 1101111110200 1211222221220 1514027776525 2422444442440 3028055553050 6056111106100 12112222212200