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2212112220012 = 22321719996719087
BaseRepresentation
bin100000001100001100001…
…010011011111101101100
321211110211220102001201200
4200030030022123331230
5242220401212020022
64412121430005500
7315551126424612
oct40141412337554
97743756361650
102212112220012
11783173751172
122b887baa6890
131307a8049a26
14790d14416b2
153c81e98cbac
hex2030c29bf6c

2212112220012 has 144 divisors (see below), whose sum is σ = 6233218467840. Its totient is φ = 657369478656.

The previous prime is 2212112220001. The next prime is 2212112220023. The reversal of 2212112220012 is 2100222112122.

It is a happy number.

2212112220012 is a `hidden beast` number, since 221 + 211 + 2 + 220 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2212112220001) and next prime (2212112220023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115886733 + ... + 115905819.

It is an arithmetic number, because the mean of its divisors is an integer number (43286239360).

Almost surely, 22212112220012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212112220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116609233920).

2212112220012 is an abundant number, since it is smaller than the sum of its proper divisors (4021106247828).

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

2212112220012 is a wasteful number, since it uses less digits than its factorization.

2212112220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29100 (or 29095 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212112220012 its reverse (2100222112122), we get a palindrome (4312334332134).

The spelling of 2212112220012 in words is "two trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 9967 11628 19087 19934 29901 38174 39868 57261 59802 76348 89703 114522 119604 169439 171783 179406 189373 229044 324479 338878 343566 358812 362653 378746 508317 568119 648958 677756 687132 725306 757492 973437 1016634 1087959 1136238 1297916 1450612 1524951 1704357 1946874 2033268 2175918 2272476 2920311 3049902 3219341 3263877 3408714 3893748 4351836 5840622 6099804 6165101 6438682 6527754 6817428 9658023 11681244 12330202 12877364 13055508 18495303 19316046 24660404 28974069 36990606 38632092 55485909 57948138 73981212 110971818 115896276 190240129 221943636 380480258 570720387 760960516 1141440774 1712161161 2282881548 3234082193 3424322322 3614562451 6468164386 6848644644 7229124902 9702246579 10843687353 12936328772 14458249804 19404493158 21687374706 29106739737 32531062059 38808986316 43374749412 58213479474 61447561667 65062124118 116426958948 122895123334 130124248236 184342685001 245790246668 368685370002 553028055003 737370740004 1106056110006 2212112220012