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12001122210 = 2357117576863
BaseRepresentation
bin10110010110101001…
…01001011110100010
31010222101020011201210
423023110221132202
5144034241402320
65302505410550
7603253566330
oct131324513642
933871204653
1012001122210
1150a9358820
1223ab199a56
13119346855c
1481bc30b50
154a38e30e0
hex2cb5297a2

12001122210 has 128 divisors (see below), whose sum is σ = 35962527744. Its totient is φ = 2490082560.

The previous prime is 12001122193. The next prime is 12001122223. The reversal of 12001122210 is 1222110021.

12001122210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1745239 + ... + 1752101.

It is an arithmetic number, because the mean of its divisors is an integer number (280957248).

Almost surely, 212001122210 is an apocalyptic number.

12001122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981263872).

12001122210 is an abundant number, since it is smaller than the sum of its proper divisors (23961405534).

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

12001122210 is a wasteful number, since it uses less digits than its factorization.

12001122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648.

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

Adding to 12001122210 its reverse (1222110021), we get a palindrome (13223232231).

The spelling of 12001122210 in words is "twelve billion, one million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 757 770 1155 1514 2271 2310 3785 4542 5299 6863 7570 8327 10598 11355 13726 15897 16654 20589 22710 24981 26495 31794 34315 41178 41635 48041 49962 52990 58289 68630 75493 79485 83270 96082 102945 116578 124905 144123 150986 158970 174867 205890 226479 240205 249810 288246 291445 349734 377465 452958 480410 528451 582890 720615 754930 874335 1056902 1132395 1441230 1585353 1748670 2264790 2642255 3170706 5195291 5284510 7926765 10390582 15585873 15853530 25976455 31171746 36367037 51952910 57148201 72734074 77929365 109101111 114296402 155858730 171444603 181835185 218202222 285741005 342889206 363670370 400037407 545505555 571482010 800074814 857223015 1091011110 1200112221 1714446030 2000187035 2400224442 4000374070 6000561105 12001122210