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12002321100200 = 2352151568969859
BaseRepresentation
bin1010111010101000001000…
…0101011110110110101000
31120111102002101122012200112
42232222002011132312220
53033121223200201300
641305442403153452
72346065464024334
oct256520205366650
946442071565615
1012002321100200
1139081793a7832
12141a169075888
13690a77541b62
142d6cb5d807c4
1515c31baade35
hexaea8215eda8

12002321100200 has 96 divisors (see below), whose sum is σ = 28095540312000. Its totient is φ = 4768227648000.

The previous prime is 12002321100169. The next prime is 12002321100227. The reversal of 12002321100200 is 200112320021.

It is a happy number.

It is a super-2 number, since 2×120023211002002 (a number of 27 digits) contains 22 as substring.

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, 171772871 + ... + 171842729.

It is an arithmetic number, because the mean of its divisors is an integer number (292661878250).

Almost surely, 212002321100200 is an apocalyptic number.

12002321100200 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 12002321100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047770156000).

12002321100200 is an abundant number, since it is smaller than the sum of its proper divisors (16093219211800).

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

12002321100200 is a wasteful number, since it uses less digits than its factorization.

12002321100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75715 (or 75706 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12002321100200 its reverse (200112320021), we get a palindrome (12202433420221).

The spelling of 12002321100200 in words is "twelve trillion, two billion, three hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 5689 6040 7550 11378 15100 22756 28445 30200 45512 56890 69859 113780 139718 142225 227560 279436 284450 349295 558872 568900 698590 859039 1137800 1397180 1718078 1746475 2794360 3436156 3492950 4295195 6872312 6985900 8590390 10548709 13971800 17180780 21097418 21475975 34361560 42194836 42951950 52743545 84389672 85903900 105487090 171807800 210974180 263717725 397427851 421948360 527435450 794855702 1054870900 1589711404 1987139255 2109741800 3179422808 3974278510 7948557020 9935696275 15897114040 19871392550 39742785100 60011605501 79485570200 120023211002 240046422004 300058027505 480092844008 600116055010 1200232110020 1500290137525 2400464220040 3000580275050 6001160550100 12002321100200