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121000010112212 = 227112319127126227
BaseRepresentation
bin11011100000110010000010…
…100111101101110011010100
3120212102111011202020012202212
4123200302002213231303110
5111324431010042042322
61105202345352052552
734325651022660650
oct3340620247556324
9525374152205685
10121000010112212
11356108a8276600
12116a2742694158
13526933782616a
1421c4608989a60
15dec74bc180e2
hex6e0c829edcd4

121000010112212 has 144 divisors (see below), whose sum is σ = 274612928077824. Its totient is φ = 45616763649600.

The previous prime is 121000010112197. The next prime is 121000010112301. The reversal of 121000010112212 is 212211010000121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958527443 + ... + 958653669.

Almost surely, 2121000010112212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000010112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137306464038912).

121000010112212 is an abundant number, since it is smaller than the sum of its proper divisors (153612917965612).

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

121000010112212 is a wasteful number, since it uses less digits than its factorization.

121000010112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135418 (or 135405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121000010112212 its reverse (212211010000121), we get a palindrome (333211020112333).

The spelling of 121000010112212 in words is "one hundred twenty-one trillion, ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 121 124 154 217 242 308 341 434 484 682 847 868 1364 1694 2387 3388 3751 4774 7502 9127 9548 15004 18254 26257 36508 52514 63889 100397 105028 126227 127778 200794 252454 255556 282937 401588 504908 565874 702779 883589 1104367 1131748 1388497 1405558 1767178 1980559 2208734 2776994 2811116 3112307 3534356 3913037 3961118 4417468 5553988 6224614 7730569 7826074 7922236 9719479 12449228 15273467 15461138 15652148 19438958 21786149 27391259 30546934 30922276 34235377 38877916 43043407 43572298 54782518 61093868 68470754 86086814 87144596 106914269 109565036 136941508 172173628 213828538 239647639 301303849 427657076 473477477 479295278 602607698 946954954 958590556 1152073829 1205215396 1893909908 2304147658 3314342339 4608295316 6628684678 8064516803 12672812119 13257369356 16129033606 25345624238 32258067212 35714288699 50691248476 71428577398 88709684833 139400933309 142857154796 177419369666 250000020893 278801866618 354838739332 392857175689 500000041786 557603733236 785714351378 975806533163 1000000083572 1571428702756 1951613066326 2750000229823 3903226132652 4321428932579 5500000459646 8642857865158 11000000919292 17285715730316 30250002528053 60500005056106 121000010112212