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200112120012 = 223737127950341
BaseRepresentation
bin1011101001011110011…
…1001010000011001100
3201010112011020222020110
42322113213022003030
511234312200320022
6231532533120020
720312651645340
oct2722747120314
9633464228213
10200112120012
117795a090672
1232949189010
1315b4161748c
149984d49620
15531322000c
hex2e979ca0cc

200112120012 has 96 divisors (see below), whose sum is σ = 548494213120. Its totient is φ = 55585025280.

The previous prime is 200112120001. The next prime is 200112120023. The reversal of 200112120012 is 210021211002.

200112120012 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200112120001) and next prime (200112120023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 200112120012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3949962 + ... + 4000302.

Almost surely, 2200112120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274247106560).

200112120012 is an abundant number, since it is smaller than the sum of its proper divisors (348382093108).

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

200112120012 is a wasteful number, since it uses less digits than its factorization.

200112120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51671 (or 51669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200112120012 its reverse (210021211002), we get a palindrome (410133331014).

The spelling of 200112120012 in words is "two hundred billion, one hundred twelve million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1279 1554 2558 3108 3837 5116 7674 8953 15348 17906 26859 35812 47323 50341 53718 94646 100682 107436 141969 151023 189292 201364 283938 302046 331261 352387 567876 604092 662522 704774 993783 1057161 1325044 1409548 1862617 1987566 2114322 3725234 3975132 4228644 5587851 7450468 11175702 13038319 22351404 26076638 39114957 52153276 64386139 78229914 128772278 156459828 193158417 257544556 386316834 450702973 772633668 901405946 1352108919 1802811892 2382287143 2704217838 4764574286 5408435676 7146861429 9529148572 14293722858 16676010001 28587445716 33352020002 50028030003 66704040004 100056060006 200112120012