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211212110012112 = 243211227358662991
BaseRepresentation
bin110000000001100010100110…
…110010100001111011010000
31000200211200101002200202222100
4300001202212302201323100
5210140444400130341422
62025113300454440400
762326366661043666
oct6001424662417320
91020750332622870
10211212110012112
11613316098a4830
121b8323a4363100
1390b12a78a4631
143a22a13734c36
1519641a1e1e7ac
hexc018a6ca1ed0

211212110012112 has 120 divisors (see below), whose sum is σ = 645120677455488. Its totient is φ = 63975510374400.

The previous prime is 211212110012093. The next prime is 211212110012147. The reversal of 211212110012112 is 211210011212112.

It is a happy number.

211212110012112 is a `hidden beast` number, since 211 + 212 + 110 + 0 + 121 + 12 = 666.

It is a super-2 number, since 2×2112121100121122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25731064 + ... + 32931927.

Almost surely, 2211212110012112 is an apocalyptic number.

211212110012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211212110012112 is an abundant number, since it is smaller than the sum of its proper divisors (433908567443376).

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

211212110012112 is a wasteful number, since it uses less digits than its factorization.

211212110012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58665289 (or 58665280 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211212110012112 its reverse (211210011212112), we get a palindrome (422422121224224).

The spelling of 211212110012112 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2273 4546 6819 9092 13638 18184 20457 25003 27276 36368 40914 50006 54552 75009 81828 100012 109104 150018 163656 200024 225027 300036 327312 400048 450054 600072 900108 1200144 1800216 3600432 58662991 117325982 175988973 234651964 351977946 469303928 527966919 645292901 703955892 938607856 1055933838 1290585802 1407911784 1935878703 2111867676 2581171604 2815823568 3871757406 4223735352 5162343208 5807636109 7743514812 8447470704 10324686416 11615272218 15487029624 23230544436 30974059248 46461088872 92922177744 133340978543 266681957086 400022935629 533363914172 800045871258 1066727828344 1200068806887 1466750763973 1600091742516 2133455656688 2400137613774 2933501527946 3200183485032 4400252291919 4800275227548 5867003055892 6400366970064 8800504583838 9600550455096 11734006111784 13200756875757 17601009167676 19201100910192 23468012223568 26401513751514 35202018335352 52803027503028 70404036670704 105606055006056 211212110012112