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2222011221012 = 22321138944332561
BaseRepresentation
bin100000010101011010001…
…100001000010000010100
321212102101210010102021100
4200111122030020100110
5242401134333033022
64420440003550100
7316351336514052
oct40253214102024
97772353112240
102222011221012
11787393452130
122ba78308b330
131316c4b33a7b
147978ddd31d2
153cbeda4a1ac
hex2055a308414

2222011221012 has 144 divisors (see below), whose sum is σ = 6157172024640. Its totient is φ = 670069171200.

The previous prime is 2222011221011. The next prime is 2222011221091. The reversal of 2222011221012 is 2101221102222.

It is a happy number.

It is a super-2 number, since 2×22220112210122 (a number of 25 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 not an unprimeable number, because it can be changed into a prime (2222011221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68225212 + ... + 68257772.

It is an arithmetic number, because the mean of its divisors is an integer number (42758139060).

Almost surely, 22222011221012 is an apocalyptic number.

2222011221012 is a gapful number since it is divisible by the number (22) 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 2222011221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078586012320).

2222011221012 is an abundant number, since it is smaller than the sum of its proper divisors (3935160803628).

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

2222011221012 is a wasteful number, since it uses less digits than its factorization.

2222011221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33414 (or 33409 counting only the distinct ones).

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

Adding to 2222011221012 its reverse (2101221102222), we get a palindrome (4323232323234).

The spelling of 2222011221012 in words is "two trillion, two hundred twenty-two billion, eleven million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 389 396 443 778 886 1167 1329 1556 1772 2334 2658 3501 3987 4279 4668 4873 5316 7002 7974 8558 9746 12837 14004 14619 15948 17116 19492 25674 29238 32561 38511 43857 51348 58476 65122 77022 87714 97683 130244 154044 172327 175428 195366 293049 344654 358171 390732 516981 586098 689308 716342 1033962 1074513 1172196 1432684 1550943 1895597 2067924 2149026 3101886 3223539 3791194 4298052 5686791 6203772 6447078 7582388 11373582 12666229 12894156 14424523 17060373 22747164 25332458 28849046 34120746 37998687 43273569 50664916 57698092 68241492 75997374 86547138 113996061 129820707 139328519 151994748 158669753 173094276 227992122 259641414 278657038 317339506 417985557 455984244 476009259 519282828 557314076 634679012 835971114 952018518 1253956671 1428027777 1671942228 1904037036 2507913342 2856055554 5015826684 5611139447 5712111108 11222278894 16833418341 22444557788 33666836682 50500255023 61722533917 67333673364 101000510046 123445067834 185167601751 202001020092 246890135668 370335203502 555502805253 740670407004 1111005610506 2222011221012