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2001222120222 = 2331329253138839
BaseRepresentation
bin11101000111110010001…
…000100011001100011110
321002022111121110222202000
4131013302020203030132
5230242000330321342
64131203155143130
7264404102232543
oct35076210431436
97068447428660
102001222120222
117017937958a6
12283a252a4aa6
13116939802030
146cc06cdabca
15370ca43744c
hex1d1f222331e

2001222120222 has 128 divisors (see below), whose sum is σ = 4956481152000. Its totient is φ = 594277326720.

The previous prime is 2001222120221. The next prime is 2001222120239. The reversal of 2001222120222 is 2220212221002.

2001222120222 is a `hidden beast` number, since 200 + 1 + 2 + 221 + 20 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001222120195 and 2001222120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001222120221) 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, 51506679 + ... + 51545517.

It is an arithmetic number, because the mean of its divisors is an integer number (38722509000).

Almost surely, 22001222120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001222120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478240576000).

2001222120222 is an abundant number, since it is smaller than the sum of its proper divisors (2955259031778).

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

2001222120222 is a wasteful number, since it uses less digits than its factorization.

2001222120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41423 (or 41417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2001222120222 its reverse (2220212221002), we get a palindrome (4221434341224).

The spelling of 2001222120222 in words is "two trillion, one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 2531 3393 5062 6786 7593 10179 15186 20358 22779 32903 38839 45558 65806 68337 73399 77678 98709 116517 136674 146798 197418 220197 233034 296127 349551 440394 504907 592254 660591 699102 888381 954187 1009814 1048653 1126331 1321182 1514721 1776762 1908374 1981773 2097306 2252662 2862561 3029442 3378993 3963546 4544163 5725122 6757986 8587683 9088326 10136979 13632489 14642303 17175366 20273958 25763049 27264978 29284606 30410937 43926909 51526098 60821874 87853818 98301509 131780727 196603018 263561454 294904527 395342181 589809054 790684362 884713581 1277919617 1769427162 2555839234 2654140743 2850743761 3833758851 5308281486 5701487522 7667517702 8552231283 11501276553 17104462566 23002553106 25656693849 34503829659 37059668893 51313387698 69007659318 74119337786 76970081547 111179006679 153940163094 222358013358 333537020037 667074040074 1000611060111 2001222120222