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212221101222 = 2331310119115671
BaseRepresentation
bin1100010110100101011…
…1010000010010100110
3202021210001102221201000
43011221113100102212
511434112100214342
6241254254414130
721222015411504
oct3055127202246
9667701387630
10212221101222
1182003308459
1235168501346
1317021218710
14a3b3215674
1557c131b44c
hex31695d04a6

212221101222 has 128 divisors (see below), whose sum is σ = 515626352640. Its totient is φ = 64309680000.

The previous prime is 212221101199. The next prime is 212221101227. The reversal of 212221101222 is 222101122212.

It is a happy number.

212221101222 is a `hidden beast` number, since 212 + 221 + 10 + 1 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212221101195 and 212221101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13534447 + ... + 13550117.

It is an arithmetic number, because the mean of its divisors is an integer number (4028330880).

Almost surely, 2212221101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257813176320).

212221101222 is an abundant number, since it is smaller than the sum of its proper divisors (303405251418).

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

212221101222 is a wasteful number, since it uses less digits than its factorization.

212221101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15987 (or 15981 counting only the distinct ones).

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

Adding to 212221101222 its reverse (222101122212), we get a palindrome (434322223434).

The spelling of 212221101222 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 191 202 234 303 351 382 573 606 702 909 1146 1313 1719 1818 2483 2626 2727 3438 3939 4966 5157 5454 7449 7878 10314 11817 14898 15671 19291 22347 23634 31342 35451 38582 44694 47013 57873 67041 70902 94026 115746 134082 141039 173619 203723 250783 282078 347238 407446 423117 501566 520857 611169 752349 846234 1041714 1222338 1504698 1582771 1833507 2257047 2993161 3165542 3667014 4514094 4748313 5500521 5986322 6771141 8979483 9496626 11001042 13542282 14244939 17958966 20576023 26938449 28489878 38911093 41152046 42734817 53876898 61728069 77822186 80815347 85469634 116733279 123456138 161630694 185184207 233466558 302309261 350199837 370368414 555552621 604618522 700399674 906927783 1050599511 1111105242 1813855566 2101199022 2720783349 3930020393 5441566698 7860040786 8162350047 11790061179 16324700094 23580122358 35370183537 70740367074 106110550611 212221101222