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212123122220000 = 255447212246591
BaseRepresentation
bin110000001110110011000011…
…010110010011101111100000
31000211001202212002212222112002
4300032303003112103233200
5210300411123242020000
62031052003404023132
762452250500043615
oct6016630326235740
91024052762788462
10212123122220000
1161652a02500382
121b95aa70531aa8
139149180970884
143a54b5748850c
15197cc210ec8d5
hexc0ecc3593be0

212123122220000 has 120 divisors (see below), whose sum is σ = 521965470483072. Its totient is φ = 84831238400000.

The previous prime is 212123122219993. The next prime is 212123122220017. The reversal of 212123122220000 is 22221321212.

It is a super-2 number, since 2×2121231222200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93296705 + ... + 95543295.

Almost surely, 2212123122220000 is an apocalyptic number.

212123122220000 is a gapful number since it is divisible by the number (20) 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 212123122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260982735241536).

212123122220000 is an abundant number, since it is smaller than the sum of its proper divisors (309842348263072).

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

212123122220000 is an equidigital number, since it uses as much as digits as its factorization.

212123122220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251342 (or 2251319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212123122220000 its reverse (22221321212), we get a palindrome (212145343541212).

The spelling of 212123122220000 in words is "two hundred twelve trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4721 5000 9442 10000 18884 20000 23605 37768 47210 75536 94420 118025 151072 188840 236050 377680 472100 590125 755360 944200 1180250 1888400 2246591 2360500 2950625 3776800 4493182 4721000 5901250 8986364 9442000 11232955 11802500 17972728 18884000 22465910 23605000 35945456 44931820 47210000 56164775 71890912 89863640 94420000 112329550 179727280 224659100 280823875 359454560 449318200 561647750 898636400 1123295500 1404119375 1797272800 2246591000 2808238750 4493182000 5616477500 8986364000 10606156111 11232955000 21212312222 22465910000 42424624444 44931820000 53030780555 84849248888 106061561110 169698497776 212123122220 265153902775 339396995552 424246244440 530307805550 848492488880 1060615611100 1325769513875 1696984977760 2121231222200 2651539027750 4242462444400 5303078055500 6628847569375 8484924888800 10606156111000 13257695138750 21212312222000 26515390277500 42424624444000 53030780555000 106061561110000 212123122220000