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12201022112020 = 22571733131547383
BaseRepresentation
bin1011000110001100010110…
…0101101100000100010100
31121012101222012122110101121
42301203011211230010110
53044400143130041040
641541023331333324
72366331462533650
oct261430545540424
947171865573347
1012201022112020
1139844739a1985
121450781751244
136a67226bb771
14302765725a60
1516259ae92c4a
hexb18c596c114

12201022112020 has 96 divisors (see below), whose sum is σ = 31014328923648. Its totient is φ = 3935945613312.

The previous prime is 12201022111933. The next prime is 12201022112107. The reversal of 12201022112020 is 2021122010221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12201022111933) and next prime (12201022112107).

It is a junction number, because it is equal to n+sod(n) for n = 12201022111985 and 12201022112003.

It is a congruent number.

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, 7111249 + ... + 8658631.

It is an arithmetic number, because the mean of its divisors is an integer number (323065926288).

Almost surely, 212201022112020 is an apocalyptic number.

12201022112020 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 12201022112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507164461824).

12201022112020 is an abundant number, since it is smaller than the sum of its proper divisors (18813306811628).

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

12201022112020 is a wasteful number, since it uses less digits than its factorization.

12201022112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550729 (or 1550727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201022112020 its reverse (2021122010221), we get a palindrome (14222144122241).

The spelling of 12201022112020 in words is "twelve trillion, two hundred one billion, twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 3313 6626 13252 16565 23191 33130 46382 56321 66260 92764 112642 115955 225284 231910 281605 394247 463820 563210 788494 1126420 1547383 1576988 1971235 3094766 3942470 6189532 7736915 7884940 10831681 15473830 21663362 26305511 30947660 43326724 52611022 54158405 105222044 108316810 131527555 184138577 216633620 263055110 368277154 526110220 736554308 920692885 1841385770 3682771540 5126479879 10252959758 20505919516 25632399395 35885359153 51264798790 71770718306 87150157943 102529597580 143541436612 174300315886 179426795765 348600631772 358853591530 435750789715 610051105601 717707183060 871501579430 1220102211202 1743003158860 2440204422404 3050255528005 6100511056010 12201022112020