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1221120222102 = 2321123736074201
BaseRepresentation
bin10001110001010000011…
…011111110001110010110
311022201220222010120001200
4101301100123332032112
5130001323234101402
62332550324133330
7154136332425414
oct21612033761626
94281828116050
101221120222102
11430968592600
121787b2837246
138b1c70a3851
14431614d42b4
1521b6de8421c
hex11c506fe396

1221120222102 has 144 divisors (see below), whose sum is σ = 2988287798496. Its totient is φ = 359849952000.

The previous prime is 1221120222089. The next prime is 1221120222107. The reversal of 1221120222102 is 2012220211221.

It is a happy number.

1221120222102 is a `hidden beast` number, since 1 + 221 + 120 + 222 + 102 = 666.

It is a super-2 number, since 2×12211202221022 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221120222107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290671602 + ... + 290675802.

Almost surely, 21221120222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221120222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494143899248).

1221120222102 is an abundant number, since it is smaller than the sum of its proper divisors (1767167576394).

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

1221120222102 is a wasteful number, since it uses less digits than its factorization.

1221120222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7861 counting only the distinct ones).

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

Adding to 1221120222102 its reverse (2012220211221), we get a palindrome (3233340433323).

The spelling of 1221120222102 in words is "one trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3607 3663 4201 4477 7214 7326 8402 8954 10821 12603 13431 21642 25206 26862 32463 37809 39677 40293 46211 64926 75618 79354 80586 92422 119031 133459 138633 155437 238062 266918 277266 310874 357093 400377 415899 436447 466311 508321 714186 800754 831798 872894 932622 1016642 1201131 1309341 1398933 1468049 1524963 1709807 2402262 2618682 2797866 2936098 3049926 3419614 3928023 4404147 4574889 5129421 7856046 8808294 9149778 10258842 13212441 15153007 15388263 16148539 18807877 26424882 30306014 30776526 32297078 37615754 45459021 48445617 56423631 90918042 96891234 112847262 136377063 145336851 166683077 169270893 272754126 290673702 333366154 338541786 500049231 560661259 1000098462 1121322518 1500147693 1681983777 1833513847 3000295386 3363967554 3667027694 5045951331 5500541541 6167273849 10091902662 11001083082 12334547698 16501624623 18501821547 33003249246 37003643094 55505464641 67840012339 111010929282 135680024678 203520037017 407040074034 610560111051 1221120222102