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120022101200100 = 223521183943349623
BaseRepresentation
bin11011010010100011010010…
…101101010000110011100100
3120201222000000121002022212010
4123102203102231100303210
5111212420230401400400
61103133220410154220
734165211361243651
oct3322432255206344
9521860017068763
10120022101200100
11352740a6180a40
1211565106a22970
1351c8060222778
14218d15a434c28
15dd20b4ac4450
hex6d28d2b50ce4

120022101200100 has 144 divisors (see below), whose sum is σ = 379284934210560. Its totient is φ = 29061586588800.

The previous prime is 120022101200021. The next prime is 120022101200107. The reversal of 120022101200100 is 1002101220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120022101200107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18906112 + ... + 24443511.

It is an arithmetic number, because the mean of its divisors is an integer number (2633923154240).

Almost surely, 2120022101200100 is an apocalyptic number.

120022101200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022101200100 is an abundant number, since it is smaller than the sum of its proper divisors (259262833010460).

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

120022101200100 is a wasteful number, since it uses less digits than its factorization.

120022101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43350490 (or 43350483 counting only the distinct ones).

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

Adding to 120022101200100 its reverse (1002101220021), we get a palindrome (121024202420121).

The spelling of 120022101200100 in words is "one hundred twenty trillion, twenty-two billion, one hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 839 1100 1650 1678 2517 3300 3356 4195 5034 8390 9229 10068 12585 16780 18458 20975 25170 27687 36916 41950 46145 50340 55374 62925 83900 92290 110748 125850 138435 184580 230725 251700 276870 461450 553740 692175 922900 1384350 2768700 43349623 86699246 130048869 173398492 216748115 260097738 433496230 476845853 520195476 650244345 866992460 953691706 1083740575 1300488690 1430537559 1907383412 2167481150 2384229265 2600977380 2861075118 3251221725 4334962300 4768458530 5722150236 6502443450 7152687795 9536917060 11921146325 13004886900 14305375590 23842292650 28610751180 35763438975 36370333697 47684585300 71526877950 72740667394 109111001091 143053755900 145481334788 181851668485 218222002182 363703336970 400073670667 436444004364 545555005455 727406673940 800147341334 909258342425 1091110010910 1200221012001 1600294682668 1818516684850 2000368353335 2182220021820 2400442024002 2727775027275 3637033369700 4000736706670 4800884048004 5455550054550 6001105060005 8001473413340 10001841766675 10911100109100 12002210120010 20003683533350 24004420240020 30005525300025 40007367066700 60011050600050 120022101200100