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12002020201200 = 2435218235486387
BaseRepresentation
bin1010111010100111000000…
…1001101001001011110000
31120111101022102102221212010
42232221300021221023300
53033120114132414300
641305352454002520
72346055151311641
oct256516011511360
946441272387763
1012002020201200
113908034569977
12141a0a4346440
13690a2a0bab03
142d6c880156c8
1515c300473a50
hexaea702692f0

12002020201200 has 120 divisors (see below), whose sum is σ = 38467568060928. Its totient is φ = 3198782493440.

The previous prime is 12002020201181. The next prime is 12002020201243. The reversal of 12002020201200 is 210202020021.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 555594 + ... + 4930793.

Almost surely, 212002020201200 is an apocalyptic number.

12002020201200 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 12002020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233784030464).

12002020201200 is an abundant number, since it is smaller than the sum of its proper divisors (26465547859728).

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

12002020201200 is a wasteful number, since it uses less digits than its factorization.

12002020201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488231 (or 5488220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002020201200 its reverse (210202020021), we get a palindrome (12212222221221).

The spelling of 12002020201200 in words is "twelve trillion, two billion, twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1823 3646 5469 7292 9115 10938 14584 18230 21876 27345 29168 36460 43752 45575 54690 72920 87504 91150 109380 136725 145840 182300 218760 273450 364600 437520 546900 729200 1093800 2187600 5486387 10972774 16459161 21945548 27431935 32918322 43891096 54863870 65836644 82295805 87782192 109727740 131673288 137159675 164591610 219455480 263346576 274319350 329183220 411479025 438910960 548638700 658366440 822958050 1097277400 1316732880 1645916100 2194554800 3291832200 6583664400 10001683501 20003367002 30005050503 40006734004 50008417505 60010101006 80013468008 100016835010 120020202012 150025252515 160026936016 200033670020 240040404024 250042087525 300050505030 400067340040 480080808048 500084175050 600101010060 750126262575 800134680080 1000168350100 1200202020120 1500252525150 2000336700200 2400404040240 3000505050300 4000673400400 6001010100600 12002020201200