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20121212002221 = 32111717966790853
BaseRepresentation
bin1001001001100110101011…
…01100011001111110101101
32122020120100212020012122100
410210303111230121332231
510114131220233032341
6110443320204005313
74144465251031311
oct444632554317655
978216325205570
1020121212002221
1164583a3686390
12230b761230839
13b2c564605585
144d7c2c539b41
1524d5eb4483b6
hex124cd5b19fad

20121212002221 has 48 divisors (see below), whose sum is σ = 33758769245760. Its totient is φ = 11413220789760.

The previous prime is 20121212002219. The next prime is 20121212002223. The reversal of 20121212002221 is 12220021212102.

It is a happy number.

20121212002221 is a `hidden beast` number, since 201 + 21 + 21 + 200 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (20121212002219) and next prime (20121212002223).

It is not a de Polignac number, because 20121212002221 - 21 = 20121212002219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121212002194 and 20121212002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121212002223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33094170 + ... + 33696683.

It is an arithmetic number, because the mean of its divisors is an integer number (703307692620).

Almost surely, 220121212002221 is an apocalyptic number.

It is an amenable number.

20121212002221 is a deficient number, since it is larger than the sum of its proper divisors (13637557243539).

20121212002221 is a wasteful number, since it uses less digits than its factorization.

20121212002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66791066 (or 66791063 counting only the distinct ones).

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

Adding to 20121212002221 its reverse (12220021212102), we get a palindrome (32341233214323).

The spelling of 20121212002221 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 179 187 537 561 1611 1683 1969 3043 5907 9129 17721 27387 33473 100419 301257 66790853 200372559 601117677 734699383 1135444501 2204098149 3406333503 6612294447 10219000509 11955562687 12489889511 35866688061 37469668533 107600064183 112409005599 131511189557 203244565679 394533568671 609733697037 1183600706013 1829201091111 2235690222469 6707070667407 20121212002221