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120202212120200 = 23527260720206807
BaseRepresentation
bin11011010101001011000010…
…001001111001011010001000
3120202121012220211120001212122
4123111023002021321122020
5111223343112300321300
61103352044532230412
734214215604640200
oct3325130211713210
9522535824501778
10120202212120200
1135333521093021
1211593bb176b408
13520c034b320c2
142197b64c65400
15dd6b06ddcc85
hex6d52c2279688

120202212120200 has 144 divisors (see below), whose sum is σ = 325633519192320. Its totient is φ = 41144290104960.

The previous prime is 120202212120191. The next prime is 120202212120217. The reversal of 120202212120200 is 2021212202021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4154804 + ... + 16052003.

It is an arithmetic number, because the mean of its divisors is an integer number (2261343883280).

Almost surely, 2120202212120200 is an apocalyptic number.

120202212120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120202212120200 is an abundant number, since it is smaller than the sum of its proper divisors (205431307072120).

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

120202212120200 is a wasteful number, since it uses less digits than its factorization.

120202212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20207444 (or 20207428 counting only the distinct ones).

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

Adding to 120202212120200 its reverse (2021212202021), we get a palindrome (122223424322221).

The spelling of 120202212120200 in words is "one hundred twenty trillion, two hundred two billion, two hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 607 700 980 1214 1225 1400 1960 2428 2450 3035 4249 4856 4900 6070 8498 9800 12140 15175 16996 21245 24280 29743 30350 33992 42490 59486 60700 84980 106225 118972 121400 148715 169960 212450 237944 297430 424900 594860 743575 849800 1189720 1487150 2974300 5948600 20206807 40413614 80827228 101034035 141447649 161654456 202068070 282895298 404136140 505170175 565790596 707238245 808272280 990133543 1010340350 1131581192 1414476490 1980267086 2020680700 2828952980 3536191225 3960534172 4041361400 4950667715 5657905960 7072382450 7921068344 9901335430 12265531849 14144764900 19802670860 24531063698 24753338575 28289529800 39605341720 49062127396 49506677150 61327659245 85858722943 98124254792 99013354300 122655318490 171717445886 198026708600 245310636980 306638296225 343434891772 429293614715 490621273960 601011060601 613276592450 686869783544 858587229430 1202022121202 1226553184900 1717174458860 2146468073575 2404044242404 2453106369800 3005055303005 3434348917720 4292936147150 4808088484808 6010110606010 8585872294300 12020221212020 15025276515025 17171744588600 24040442424040 30050553030050 60101106060100 120202212120200