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12020202011100 = 22352101769515873
BaseRepresentation
bin1010111011101010101111…
…0111101111100111011100
31120120010020112201121011210
42232322223313233213130
53033414333203323400
641322000553144420
72350300545201033
oct256725367574734
946503215647153
1012020202011100
11391481473a848
1214217193bb110
13692666ba6cca
142d7ad0a4b71a
1515ca16791950
hexaeeabdef9dc

12020202011100 has 144 divisors (see below), whose sum is σ = 35168533757280. Its totient is φ = 3169517568000.

The previous prime is 12020202011029. The next prime is 12020202011113. The reversal of 12020202011100 is 111020202021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23042764 + ... + 23558636.

It is an arithmetic number, because the mean of its divisors is an integer number (244225928870).

Almost surely, 212020202011100 is an apocalyptic number.

12020202011100 is a gapful number since it is divisible by the number (10) 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 12020202011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17584266878640).

12020202011100 is an abundant number, since it is smaller than the sum of its proper divisors (23148331746180).

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

12020202011100 is a wasteful number, since it uses less digits than its factorization.

12020202011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516760 (or 516753 counting only the distinct ones).

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

Adding to 12020202011100 its reverse (111020202021), we get a palindrome (12131222213121).

The spelling of 12020202011100 in words is "twelve trillion, twenty billion, two hundred two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 769 1010 1212 1515 1538 2020 2307 2525 3030 3076 3845 4614 5050 6060 7575 7690 9228 10100 11535 15150 15380 19225 23070 30300 38450 46140 57675 76900 77669 115350 155338 230700 233007 310676 388345 466014 515873 776690 932028 1031746 1165035 1547619 1553380 1941725 2063492 2330070 2579365 3095238 3883450 4660140 5158730 5825175 6190476 7738095 7766900 10317460 11650350 12896825 15476190 23300700 25793650 30952380 38690475 51587300 52103173 77380950 104206346 154761900 156309519 208412692 260515865 312619038 396706337 521031730 625238076 781547595 793412674 1042063460 1190119011 1302579325 1563095190 1586825348 1983531685 2380238022 2605158650 3126190380 3907737975 3967063370 4760476044 5210317300 5950595055 7815475950 7934126740 9917658425 11901190110 15630951900 19835316850 23802380220 29752975275 39670633700 40067340037 59505950550 80134680074 119011901100 120202020111 160269360148 200336700185 240404040222 400673400370 480808080444 601010100555 801346800740 1001683500925 1202020201110 2003367001850 2404040402220 3005050502775 4006734003700 6010101005550 12020202011100