Search a number
-
+
200012122220120 = 235713931116524301
BaseRepresentation
bin101101011110100011110011…
…011111101110011001011000
3222020011222020200201122101222
4231132203303133232121120
5202203444311242020440
61545220144522431212
760062253562430240
oct5536436337563130
9866158220648358
10200012122220120
1158803734762791
121a523833062508
13877b0a6846cb2
1437568d1978b20
15181cb934032b5
hexb5e8f37ee658

200012122220120 has 128 divisors (see below), whose sum is σ = 519682688179200. Its totient is φ = 67863317184000.

The previous prime is 200012122220107. The next prime is 200012122220129. The reversal of 200012122220120 is 21022221210002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012122220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841970 + ... + 20366270.

It is an arithmetic number, because the mean of its divisors is an integer number (4060021001400).

Almost surely, 2200012122220120 is an apocalyptic number.

200012122220120 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 200012122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259841344089600).

200012122220120 is an abundant number, since it is smaller than the sum of its proper divisors (319670565959080).

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

200012122220120 is a wasteful number, since it uses less digits than its factorization.

200012122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16524769 (or 16524765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200012122220120 its reverse (21022221210002), we get a palindrome (221034343430122).

The spelling of 200012122220120 in words is "two hundred trillion, twelve billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 311 556 622 695 973 1112 1244 1390 1555 1946 2177 2488 2780 3110 3892 4354 4865 5560 6220 7784 8708 9730 10885 12440 17416 19460 21770 38920 43229 43540 86458 87080 172916 216145 302603 345832 432290 605206 864580 1210412 1513015 1729160 2420824 3026030 6052060 12104120 16524301 33048602 66097204 82621505 115670107 132194408 165243010 231340214 330486020 462680428 578350535 660972040 925360856 1156701070 2296877839 2313402140 4593755678 4626804280 5139057611 9187511356 10278115222 11484389195 16078144873 18375022712 20556230444 22968778390 25695288055 32156289746 35973403277 41112460888 45937556780 51390576110 64312579492 71946806554 80390724365 91875113560 102781152220 128625158984 143893613108 160781448730 179867016385 205562304440 287787226216 321562897460 359734032770 643125794920 714329007929 719468065540 1428658015858 1438936131080 2857316031716 3571645039645 5000303055503 5714632063432 7143290079290 10000606111006 14286580158580 20001212222012 25001515277515 28573160317160 40002424444024 50003030555030 100006061110060 200012122220120