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212221122111222 = 237374122314936501
BaseRepresentation
bin110000010000001110010100…
…100110001110011011110110
31000211102010210212222021022220
4300100032110212032123312
5210304012324230024342
62031205012041503210
762462320146265320
oct6020162446163366
91024363725867286
10212221122111222
1161690521925114
121b975a604a1b06
13915549ac985a3
143a597b2a22610
1519805599525ec
hexc1039498e6f6

212221122111222 has 128 divisors (see below), whose sum is σ = 512626484256768. Its totient is φ = 57298803840000.

The previous prime is 212221122111197. The next prime is 212221122111227. The reversal of 212221122111222 is 222111221122212.

It is a super-3 number, since 3×2122211221112223 (a number of 44 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212221122111192 and 212221122111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221122111227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6739972 + ... + 21676472.

It is an arithmetic number, because the mean of its divisors is an integer number (4004894408256).

Almost surely, 2212221122111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221122111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256313242128384).

212221122111222 is an abundant number, since it is smaller than the sum of its proper divisors (300405362145546).

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

212221122111222 is a wasteful number, since it uses less digits than its factorization.

212221122111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14936814.

The product of its digits is 512, while the sum is 24.

Adding to 212221122111222 its reverse (222111221122212), we get a palindrome (434332343233434).

The spelling of 212221122111222 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 41 42 74 82 111 123 222 223 246 259 287 446 518 574 669 777 861 1338 1517 1554 1561 1722 3034 3122 4551 4683 8251 9102 9143 9366 10619 16502 18286 21238 24753 27429 31857 49506 54858 57757 63714 64001 115514 128002 173271 192003 338291 346542 384006 676582 1014873 2029746 2368037 4736074 7104111 14208222 14936501 29873002 44809503 89619006 104555507 209111014 313666521 552650537 612396541 627333042 1105301074 1224793082 1657951611 1837189623 3315903222 3330839723 3674379246 3868553759 4286775787 6661679446 7737107518 8573551574 9992519169 11605661277 12860327361 19985038338 22658672017 23211322554 23315878061 25720654722 45317344034 46631756122 67976016051 69947634183 123241069751 135952032102 136564428643 139895268366 158610704119 246482139502 273128857286 317221408238 369723209253 409693285929 475832112357 739446418506 819386571858 862687488257 951664224714 955951000501 1725374976514 1911902001002 2588062464771 2867853001503 5052883859791 5176124929542 5735706003006 10105767719582 15158651579373 30317303158746 35370187018537 70740374037074 106110561055611 212221122111222