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112211212201220 = 225113120038214307
BaseRepresentation
bin11001100000111000110101…
…011100010110110100000100
3112201022021202022102011011102
4121200320311130112310010
5104201432030310414340
61034353041431155232
732430664305230126
oct3140706534266404
9481267668364142
10112211212201220
1132832564a46980
121070334bb15b18
134a7c619a19092
141d9d0a1a1d216
15ce8d1016d215
hex660e35716d04

112211212201220 has 96 divisors (see below), whose sum is σ = 265490640285696. Its totient is φ = 39468097468800.

The previous prime is 112211212201213. The next prime is 112211212201243. The reversal of 112211212201220 is 22102212112211.

It is a super-2 number, since 2×1122112122012202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112211212201192 and 112211212201201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9553307 + ... + 17767613.

It is an arithmetic number, because the mean of its divisors is an integer number (2765527502976).

Almost surely, 2112211212201220 is an apocalyptic number.

112211212201220 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 112211212201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132745320142848).

112211212201220 is an abundant number, since it is smaller than the sum of its proper divisors (153279428084476).

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

112211212201220 is a wasteful number, since it uses less digits than its factorization.

112211212201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216361 (or 8216359 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 112211212201220 its reverse (22102212112211), we get a palindrome (134313424313431).

The spelling of 112211212201220 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 2003 3410 4006 6820 8012 10015 20030 22033 40060 44066 62093 88132 110165 124186 220330 248372 310465 440660 620930 683023 1241860 1366046 2732092 3415115 6830230 8214307 13660460 16428614 32857228 41071535 82143070 90357377 164286140 180714754 254643517 361429508 451786885 509287034 903573770 1018574068 1273217585 1807147540 2546435170 2801078687 5092870340 5602157374 11204314748 14005393435 16453256921 28010786870 32906513842 56021573740 65813027684 82266284605 164532569210 180985826131 329065138420 361971652262 510050964551 723943304524 904929130655 1020101929102 1809858261310 2040203858204 2550254822755 3619716522620 5100509645510 5610560610061 10201019291020 11221121220122 22442242440244 28052803050305 56105606100610 112211212201220