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200212112210120 = 23529594676264169
BaseRepresentation
bin101101100001011110000011…
…110100111111100011001000
3222020220002110100011202202122
4231201132003310333203020
5202220233401211210440
61545452101414150412
760112563532333463
oct5541360364774310
9866802410152678
10200212112210120
115888053090725a
121a556547352408
138793bc8a6cb9a
1437624645b22da
151822e9aa4b7b5
hexb61783d3f8c8

200212112210120 has 128 divisors (see below), whose sum is σ = 474924312720000. Its totient is φ = 75849953851392.

The previous prime is 200212112210059. The next prime is 200212112210161. The reversal of 200212112210120 is 21012211212002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28829396 + ... + 35093564.

It is an arithmetic number, because the mean of its divisors is an integer number (3710346193125).

Almost surely, 2200212112210120 is an apocalyptic number.

200212112210120 is a gapful number since it is divisible by the number (20) 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 200212112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237462156360000).

200212112210120 is an abundant number, since it is smaller than the sum of its proper divisors (274712200509880).

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

200212112210120 is a wasteful number, since it uses less digits than its factorization.

200212112210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6264735 (or 6264731 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200212112210120 its reverse (21012211212002), we get a palindrome (221224323422122).

The spelling of 200212112210120 in words is "two hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 467 472 580 590 934 1160 1180 1711 1868 2335 2360 3422 3736 4670 6844 8555 9340 13543 13688 17110 18680 27086 27553 34220 54172 55106 67715 68440 108344 110212 135430 137765 220424 270860 275530 541720 551060 799037 1102120 1598074 3196148 3995185 6264169 6392296 7990370 12528338 15980740 25056676 31320845 31961480 50113352 62641690 125283380 181660901 250566760 363321802 369585971 726643604 739171942 908304505 1453287208 1478343884 1816609010 1847929855 2925366923 2956687768 3633218020 3695859710 5850733846 7266436040 7391719420 10717993159 11701467692 14626834615 14783438840 21435986318 23402935384 29253669230 42871972636 53589965795 58507338460 84835640767 85743945272 107179931590 117014676920 169671281534 172596648457 214359863180 339342563068 345193296914 424178203835 428719726360 678685126136 690386593828 848356407670 862983242285 1380773187656 1696712815340 1725966484570 3393425630680 3451932969140 5005302805253 6903865938280 10010605610506 20021211221012 25026514026265 40042422442024 50053028052530 100106056105060 200212112210120