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12000210020200 = 23521032927199021
BaseRepresentation
bin1010111010100000010001…
…0000010110011101101000
31120111012122021021020100101
42232220010100112131220
53033102412231121300
641304453111315144
72345662251112213
oct256500420263550
946435567236311
1012000210020200
113907295791116
12141987a07bab4
136907cc0749ac
142d6b5584c77a
1515c2465a8b6a
hexaea04416768

12000210020200 has 96 divisors (see below), whose sum is σ = 28181133077760. Its totient is φ = 4751833363200.

The previous prime is 12000210020191. The next prime is 12000210020203. The reversal of 12000210020200 is 202001200021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12000210020203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60196690 + ... + 60395710.

It is an arithmetic number, because the mean of its divisors is an integer number (293553469560).

Almost surely, 212000210020200 is an apocalyptic number.

12000210020200 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 12000210020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090566538880).

12000210020200 is an abundant number, since it is smaller than the sum of its proper divisors (16180923057560).

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

12000210020200 is a wasteful number, since it uses less digits than its factorization.

12000210020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202067 (or 202058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000210020200 its reverse (202001200021), we get a palindrome (12202211220221).

The spelling of 12000210020200 in words is "twelve trillion, two hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 2927 4120 5150 5854 10300 11708 14635 20600 23416 29270 58540 73175 117080 146350 199021 292700 301481 398042 585400 602962 796084 995105 1205924 1507405 1592168 1990210 2411848 3014810 3980420 4975525 6029620 7537025 7960840 9951050 12059240 15074050 19902100 20499163 30148100 39804200 40998326 60296200 81996652 102495815 163993304 204991630 409983260 512479075 582534467 819966520 1024958150 1165068934 2049916300 2330137868 2912672335 4099832600 4660275736 5825344670 11650689340 14563361675 23301378680 29126723350 58253446700 60001050101 116506893400 120002100202 240004200404 300005250505 480008400808 600010501010 1200021002020 1500026252525 2400042004040 3000052505050 6000105010100 12000210020200