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20122221200212 = 22416114331403641
BaseRepresentation
bin1001001001101000100011…
…10110001100001101010100
32122020122222012012210000201
410210310101312030031110
510114140302111401322
6110444004254350244
74144532254051435
oct444642166141524
978218865183021
1020122221200212
11645887131180a
12230b9a31bb384
13b2c695713251
144d7cc659d48c
1524d659d44d27
hex124d11d8c354

20122221200212 has 48 divisors (see below), whose sum is σ = 36689730863184. Its totient is φ = 9648059904000.

The previous prime is 20122221200197. The next prime is 20122221200311. The reversal of 20122221200212 is 21200212222102.

It can be written as a sum of positive squares in 8 ways, for example, as 537294864016 + 19584926336196 = 733004^2 + 4425486^2 .

It is a super-2 number, since 2×201222212002122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20122221200212.

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 15 ways as a sum of consecutive naturals, for example, 13633912 + ... + 15037552.

It is an arithmetic number, because the mean of its divisors is an integer number (764369392983).

Almost surely, 220122221200212 is an apocalyptic number.

It is an amenable number.

20122221200212 is a deficient number, since it is larger than the sum of its proper divisors (16567509662972).

20122221200212 is a wasteful number, since it uses less digits than its factorization.

20122221200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405180 (or 1405178 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20122221200212 its reverse (21200212222102), we get a palindrome (41322433422314).

The spelling of 20122221200212 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 41 61 82 122 164 244 1433 2501 2866 5002 5732 10004 58753 87413 117506 174826 235012 349652 1403641 2807282 3583933 5614564 7167866 14335732 57549281 85622101 115098562 171244202 230197124 342488404 2011417553 3510506141 4022835106 7021012282 8045670212 14042024564 82468119673 122696470733 164936239346 245392941466 329872478692 490785882932 5030555300053 10061110600106 20122221200212