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1212102222012 = 22321197191165211
BaseRepresentation
bin10001101000110110111…
…011000010000010111100
311021212122111011200120100
4101220312323002002330
5124324341132101022
62324455421121100
7153400010615103
oct21506673020274
94255574150510
101212102222012
11428060117670
12176ab66b9190
138a3ba990516
144294795503a
15217e23ee1ac
hex11a36ec20bc

1212102222012 has 144 divisors (see below), whose sum is σ = 3394622859264. Its totient is φ = 361611648000.

The previous prime is 1212102221977. The next prime is 1212102222059. The reversal of 1212102222012 is 2102222012121.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 7254087 + ... + 7419297.

It is an arithmetic number, because the mean of its divisors is an integer number (23573769856).

Almost surely, 21212102222012 is an apocalyptic number.

1212102222012 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 1212102222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697311429632).

1212102222012 is an abundant number, since it is smaller than the sum of its proper divisors (2182520637252).

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

1212102222012 is a wasteful number, since it uses less digits than its factorization.

1212102222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165520 (or 165515 counting only the distinct ones).

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

Adding to 1212102222012 its reverse (2102222012121), we get a palindrome (3314324234133).

It can be divided in two parts, 121 and 2102222012, that multiplied together give a palindrome (254368863452).

The spelling of 1212102222012 in words is "one trillion, two hundred twelve billion, one hundred two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 191 194 198 291 382 388 396 573 582 764 873 1067 1146 1164 1719 1746 2101 2134 2292 3201 3438 3492 4202 4268 6303 6402 6876 8404 9603 12606 12804 18527 18909 19206 25212 37054 37818 38412 55581 74108 75636 111162 165211 166743 203797 222324 330422 333486 407594 495633 611391 660844 666972 815188 991266 1222782 1486899 1817321 1834173 1982532 2445564 2973798 3634642 3668346 5451963 5947596 7269284 7336692 10903926 16025467 16355889 21807852 31555301 32050934 32711778 48076401 63110602 64101868 65423556 94665903 96152802 126221204 144229203 176280137 189331806 192305604 283997709 288458406 347108311 352560274 378663612 528840411 567995418 576916812 694216622 705120548 1041324933 1057680822 1135990836 1388433244 1586521233 2082649866 2115361644 3060864197 3123974799 3173042466 4165299732 6121728394 6247949598 6346084932 9182592591 12243456788 12495899196 18365185182 27547777773 33669506167 36730370364 55095555546 67339012334 101008518501 110191111092 134678024668 202017037002 303025555503 404034074004 606051111006 1212102222012