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212121221010012 = 223223291787824837
BaseRepresentation
bin110000001110110001010010…
…000001110001001001011100
31000211001120221121102111201100
4300032301102001301021130
5210300343230034310022
62031051051010313100
762452152413034426
oct6016612201611134
91024046847374640
10212121221010012
11616521172a9156
121b95a61b888790
139148c39b05352
143a54a16b87816
15197cb5e2511ac
hexc0ec5207125c

212121221010012 has 72 divisors (see below), whose sum is σ = 559699963988256. Its totient is φ = 67609666548864.

The previous prime is 212121221009941. The next prime is 212121221010037. The reversal of 212121221010012 is 210010122121212.

212121221010012 is a `hidden beast` number, since 212 + 121 + 221 + 0 + 100 + 12 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 41497143 + ... + 46327694.

It is an arithmetic number, because the mean of its divisors is an integer number (7773610610948).

Almost surely, 2212121221010012 is an apocalyptic number.

It is an amenable number.

212121221010012 is an abundant number, since it is smaller than the sum of its proper divisors (347578742978244).

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

212121221010012 is a wasteful number, since it uses less digits than its factorization.

212121221010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87827787 (or 87827782 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121221010012 its reverse (210010122121212), we get a palindrome (422131343131224).

The spelling of 212121221010012 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2917 5834 8751 11668 17502 26253 35004 52506 67091 105012 134182 201273 268364 402546 603819 805092 1207638 2415276 87824837 175649674 263474511 351299348 526949022 790423533 1053898044 1580847066 2019971251 3161694132 4039942502 6059913753 8079885004 12119827506 18179741259 24239655012 36359482518 72718965036 256185049529 512370099058 768555148587 1024740198116 1537110297174 2305665445761 3074220594348 4611330891522 5892256139167 9222661783044 11784512278334 17676768417501 23569024556668 35353536835002 53030305252503 70707073670004 106060610505006 212121221010012