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212212200002112 = 2632368423958337
BaseRepresentation
bin110000010000000110000000…
…110011000101001001000000
31000211101021210002110011112100
4300100012000303011021000
5210303341041200031422
62031200534442030400
762461553100514362
oct6020060063051100
91024337702404470
10212212200002112
11616877635a4522
121b9741904a8400
1391546a86ba69b
143a591a7ac4d32
1519801d650e7ac
hexc10180cc5240

212212200002112 has 42 divisors (see below), whose sum is σ = 608267955216038. Its totient is φ = 70737400000512.

The previous prime is 212212200002081. The next prime is 212212200002113. The reversal of 212212200002112 is 211200002212212.

It is a happy number.

212212200002112 is a `hidden beast` number, since 212 + 21 + 220 + 0 + 0 + 0 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202255499382336 + 9956700619776 = 14221656^2 + 3155424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212212200002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184211978593 + ... + 184211979744.

Almost surely, 2212212200002112 is an apocalyptic number.

It is an amenable number.

212212200002112 is an abundant number, since it is smaller than the sum of its proper divisors (396055755213926).

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

212212200002112 is a wasteful number, since it uses less digits than its factorization.

212212200002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368423958355 (or 368423958342 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212212200002112 its reverse (211200002212212), we get a palindrome (423412202214324).

The spelling of 212212200002112 in words is "two hundred twelve trillion, two hundred twelve billion, two hundred million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 368423958337 736847916674 1105271875011 1473695833348 2210543750022 2947391666696 3315815625033 4421087500044 5894783333392 6631631250066 8842175000088 11789566666784 13263262500132 17684350000176 23579133333568 26526525000264 35368700000352 53053050000528 70737400000704 106106100001056 212212200002112