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20220011001200 = 2452599103981223
BaseRepresentation
bin1001001100011110101101…
…00100101011010101110000
32122121000101022222101012202
410212033112210223111300
510122241040304014300
6111000540025242332
74154563502462153
oct446172644532560
978530338871182
1020220011001200
11649629309165a
1223269349333a8
13b3897b36000a
144dc921c89c9a
15250e7eeeaad5
hex1263d692b570

20220011001200 has 120 divisors (see below), whose sum is σ = 48707108736000. Its totient is φ = 8066631156480.

The previous prime is 20220011001199. The next prime is 20220011001217. The reversal of 20220011001200 is 210011002202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248903789 + ... + 248985011.

It is an arithmetic number, because the mean of its divisors is an integer number (405892572800).

Almost surely, 220220011001200 is an apocalyptic number.

20220011001200 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 20220011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353554368000).

20220011001200 is an abundant number, since it is smaller than the sum of its proper divisors (28487097734800).

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

20220011001200 is a wasteful number, since it uses less digits than its factorization.

20220011001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82879 (or 82868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20220011001200 its reverse (210011002202), we get a palindrome (20430022003402).

The spelling of 20220011001200 in words is "twenty trillion, two hundred twenty billion, eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 599 1039 1198 2078 2396 2995 4156 4792 5195 5990 8312 9584 10390 11980 14975 16624 20780 23960 25975 29950 41560 47920 51950 59900 81223 83120 103900 119800 162446 207800 239600 324892 406115 415600 622361 649784 812230 1244722 1299568 1624460 2030575 2489444 3111805 3248920 4061150 4978888 6223610 6497840 8122300 9957776 12447220 15559025 16244600 24894440 31118050 32489200 48652577 49788880 62236100 84390697 97305154 124472200 168781394 194610308 243262885 248944400 337562788 389220616 421953485 486525770 675125576 778441232 843906970 973051540 1216314425 1350251152 1687813940 1946103080 2109767425 2432628850 3375627880 3892206160 4219534850 4865257700 6751255760 8439069700 9730515400 16878139400 19461030800 33756278800 50550027503 101100055006 202200110012 252750137515 404400220024 505500275030 808800440048 1011000550060 1263750687575 2022001100120 2527501375150 4044002200240 5055002750300 10110005500600 20220011001200