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21212001210212 = 22731812414493709
BaseRepresentation
bin1001101001010110011011…
…10011000000111101100100
32210002211212211120021002022
410310223031303000331210
510240014134302211322
6113040354150202312
74316342110231661
oct464531563007544
983084784507068
1021212001210212
116838a60761a7a
122467040353398
13bab38b068057
145349485daa68
1526bb8d480942
hex134acdcc0f64

21212001210212 has 96 divisors (see below), whose sum is σ = 38089295244000. Its totient is φ = 10333893427200.

The previous prime is 21212001210199. The next prime is 21212001210217. The reversal of 21212001210212 is 21201210021212.

It can be written as a sum of positive squares in 16 ways, for example, as 7425973804096 + 13786027406116 = 2725064^2 + 3712954^2 .

It is a super-2 number, since 2×212120012102122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21212001210217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719060214 + ... + 5719063922.

It is an arithmetic number, because the mean of its divisors is an integer number (396763492125).

Almost surely, 221212001210212 is an apocalyptic number.

It is an amenable number.

21212001210212 is a deficient number, since it is larger than the sum of its proper divisors (16877294033788).

21212001210212 is a wasteful number, since it uses less digits than its factorization.

21212001210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21212001210212 its reverse (21201210021212), we get a palindrome (42413211231424).

The spelling of 21212001210212 in words is "twenty-one trillion, two hundred twelve billion, one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 73 146 181 241 292 362 449 482 724 898 964 1796 3709 7418 13213 14836 17593 26426 32777 35186 43621 52852 65554 70372 81269 87242 108209 131108 162538 174484 216418 270757 325076 432836 541514 671329 893869 1083028 1342658 1665341 1787738 2685316 3184333 3330682 3575476 5932637 6368666 6661364 7899257 11865274 12737332 15798514 19585829 23730548 31597028 39171658 49007017 65252437 78343316 98014034 121569893 130504874 161790289 196028068 243139786 261009748 301426721 323580578 401347181 486279572 602853442 647161156 802694362 1205706884 1429765517 1605388724 2859531034 5719062068 11810691097 22004150633 23621382194 29298344213 44008301266 47242764388 58596688426 72643839761 88016602532 117193376852 145287679522 290575359044 5303000302553 10606000605106 21212001210212