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12200120201112 = 23323312663267727
BaseRepresentation
bin1011000110001000111111…
…0101001010111110011000
31121012022122100112122012220
42301202033311022332120
53044341321232413422
641540354032304040
72366300231446044
oct261421765127630
947168570478186
1012200120201112
113984050884968
12145056b6a2020
136a660a8a637c
143026bba2d024
15162546bd9e5c
hexb188fd4af98

12200120201112 has 128 divisors (see below), whose sum is σ = 32865518223360. Its totient is φ = 3762985311360.

The previous prime is 12200120201107. The next prime is 12200120201147. The reversal of 12200120201112 is 21110202100221.

It is a super-2 number, since 2×122001202011122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200120201091 and 12200120201100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45435393 + ... + 45703119.

It is an arithmetic number, because the mean of its divisors is an integer number (256761861120).

Almost surely, 212200120201112 is an apocalyptic number.

12200120201112 is a gapful number since it is divisible by the number (12) 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 12200120201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432759111680).

12200120201112 is an abundant number, since it is smaller than the sum of its proper divisors (20665398022248).

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

12200120201112 is a wasteful number, since it uses less digits than its factorization.

12200120201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270453 (or 270449 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200120201112 its reverse (21110202100221), we get a palindrome (33310322301333).

The spelling of 12200120201112 in words is "twelve trillion, two hundred billion, one hundred twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2663 2852 4278 5326 5704 7989 8556 10652 15978 17112 21304 31956 61249 63912 82553 122498 165106 183747 244996 247659 267727 330212 367494 489992 495318 535454 660424 734988 803181 990636 1070908 1469976 1606362 1898719 1981272 2141816 3212724 3797438 5696157 6157721 6425448 7594876 8299537 11392314 12315442 15189752 16599074 18473163 22784628 24630884 24898611 33198148 36946326 45569256 49261768 49797222 66396296 73892652 99594444 147785304 190889351 199188888 381778702 572668053 712957001 763557404 1145336106 1425914002 1527114808 2138871003 2290672212 2851828004 4277742006 4581344424 5703656008 8555484012 16398011023 17110968024 22101667031 32796022046 44203334062 49194033069 65592044092 66305001093 88406668124 98388066138 131184088184 132610002186 176813336248 196776132276 265220004372 393552264552 508338341713 530440008744 1016676683426 1525015025139 2033353366852 3050030050278 4066706733704 6100060100556 12200120201112