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12001001200122 = 231117731371069501
BaseRepresentation
bin1010111010100011001101…
…1010011101100111111010
31120111021200102000100011110
42232220303122131213322
53033111022301400442
641305103413141150
72346020666042214
oct256506332354772
946437612010143
1012001001200122
113907661348320
121419a5b02a7b6
136908c6c5a0ac
142d6bcc95d5b4
1515c290c8c69c
hexaea3369d9fa

12001001200122 has 128 divisors (see below), whose sum is σ = 28309187467008. Its totient is φ = 3351214080000.

The previous prime is 12001001200121. The next prime is 12001001200151. The reversal of 12001001200122 is 22100210010021.

It is a junction number, because it is equal to n+sod(n) for n = 12001001200098 and 12001001200107.

It is not an unprimeable number, because it can be changed into a prime (12001001200121) 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, 10686372 + ... + 11755872.

It is an arithmetic number, because the mean of its divisors is an integer number (221165527086).

Almost surely, 212001001200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001001200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154593733504).

12001001200122 is an abundant number, since it is smaller than the sum of its proper divisors (16308186266886).

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

12001001200122 is a wasteful number, since it uses less digits than its factorization.

12001001200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069744.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001001200122 its reverse (22100210010021), we get a palindrome (34101211210143).

The spelling of 12001001200122 in words is "twelve trillion, one billion, one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 73 102 137 146 187 219 274 374 411 438 561 803 822 1122 1241 1507 1606 2329 2409 2482 3014 3723 4521 4658 4818 6987 7446 9042 10001 13651 13974 20002 25619 27302 30003 40953 51238 60006 76857 81906 110011 153714 170017 220022 330033 340034 510051 660066 1020102 1069501 1870187 2139002 3208503 3740374 5610561 6417006 11221122 11764511 18181517 23529022 35293533 36363034 54544551 70587066 78073573 109089102 146521637 156147146 199996687 234220719 293043274 399993374 439564911 468441438 599990061 858809303 879129822 1199980122 1327250741 1611738007 1717618606 2490867829 2576427909 2654501482 3223476014 3981752223 4835214021 4981735658 5152855818 7472603487 7963504446 9670428042 10696079501 14599758151 14945206974 21392159002 27399546119 29199516302 32088238503 43799274453 54799092238 64176477006 82198638357 87598548906 117656874511 164397276714 181833351517 235313749022 352970623533 363666703034 545500054551 705941247066 1091000109102 2000166866687 4000333733374 6000500600061 12001001200122