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212122141221212 = 221014051912958237
BaseRepresentation
bin110000001110110010001000…
…111000000110000101011100
31000211001200022201222002011122
4300032302020320012011130
5210300402121123034322
62031051322201510112
762452214255512055
oct6016621070060534
91024050281862148
10212122141221212
1161652549785482
121b95a837aa2338
139149055657311
143a54aa308572c
15197cbb4e21442
hexc0ec88e0615c

212122141221212 has 24 divisors (see below), whose sum is σ = 374898411884640. Its totient is φ = 105008361249600.

The previous prime is 212122141221209. The next prime is 212122141221217.

212122141221212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122141221217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9890558 + ... + 22848794.

It is an arithmetic number, because the mean of its divisors is an integer number (15620767161860).

Almost surely, 2212122141221212 is an apocalyptic number.

It is an amenable number.

212122141221212 is a deficient number, since it is larger than the sum of its proper divisors (162776270663428).

212122141221212 is a wasteful number, since it uses less digits than its factorization.

212122141221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12998861 (or 12998859 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The spelling of 212122141221212 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 101 202 404 40519 81038 162076 4092419 8184838 12958237 16369676 25916474 51832948 1308781937 2617563874 5235127748 525054805003 1050109610006 2100219220012 53030535305303 106061070610606 212122141221212