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200212100012000 = 2553192634369737
BaseRepresentation
bin101101100001011110000011…
…000110011101011111100000
3222020220002102111020001002102
4231201132003012131133200
5202220233340100341000
61545452100300505532
760112563323550446
oct5541360306353740
9866802374201072
10200212100012000
1158880524a3566a
121a55654324b2a8
138793bc638b96b
143762462b18b96
151822e9993c3d5
hexb6178319d7e0

200212100012000 has 96 divisors (see below), whose sum is σ = 517811715701280. Its totient is φ = 75869848396800.

The previous prime is 200212100011993. The next prime is 200212100012027. The reversal of 200212100012000 is 210001212002.

It is a happy number.

200212100012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317108869 + ... + 1317260868.

It is an arithmetic number, because the mean of its divisors is an integer number (5393872038555).

Almost surely, 2200212100012000 is an apocalyptic number.

200212100012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212100012000 is an abundant number, since it is smaller than the sum of its proper divisors (317599615689280).

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

200212100012000 is a wasteful number, since it uses less digits than its factorization.

200212100012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634369781 (or 2634369763 counting only the distinct ones).

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

Adding to 200212100012000 its reverse (210001212002), we get a palindrome (200422101224002).

The spelling of 200212100012000 in words is "two hundred trillion, two hundred twelve billion, one hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 2634369737 5268739474 10537478948 13171848685 21074957896 26343697370 42149915792 50053025003 52687394740 65859243425 84299831584 100106050006 105374789480 131718486850 200212100012 210749578960 250265125015 263436973700 329296217125 400424200024 421499157920 500530250030 526873947400 658592434250 800848400048 1001060500060 1053747894800 1251325625075 1317184868500 1601696800096 2002121000120 2107495789600 2502651250150 2634369737000 4004242000240 5005302500300 5268739474000 6256628125375 8008484000480 10010605000600 10537478948000 12513256250750 20021210001200 25026512501500 40042420002400 50053025003000 100106050006000 200212100012000