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12212021022102 = 232112111254723297
BaseRepresentation
bin1011000110110101010100…
…1011001100110110010110
31121020110100202000222112200
42301231111023030312112
53100040204340201402
641550043000225330
72400201156660126
oct261552513146626
947213322028480
1012212021022102
1139890a8555910
12145293116b246
136a7786323c95
143030ca3d0c86
151629e18b921c
hexb1b552ccd96

12212021022102 has 96 divisors (see below), whose sum is σ = 29005133249664. Its totient is φ = 3682622361600.

The previous prime is 12212021022077. The next prime is 12212021022109. The reversal of 12212021022102 is 20122012021221.

It is a happy number.

12212021022102 is a `hidden beast` number, since 1 + 221 + 20 + 210 + 2 + 210 + 2 = 666.

It is a super-2 number, since 2×122120210221022 (a number of 27 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 (12212021022109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524176918 + ... + 524200214.

It is an arithmetic number, because the mean of its divisors is an integer number (302136804684).

Almost surely, 212212021022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212021022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502566624832).

12212021022102 is an abundant number, since it is smaller than the sum of its proper divisors (16793112227562).

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

12212021022102 is a wasteful number, since it uses less digits than its factorization.

12212021022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36074 (or 36071 counting only the distinct ones).

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

Adding to 12212021022102 its reverse (20122012021221), we get a palindrome (32334033043323).

The spelling of 12212021022102 in words is "twelve trillion, two hundred twelve billion, twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 633 1266 1899 2321 3798 4642 6963 12547 13926 20889 23297 25094 37641 41778 46594 69891 75282 112923 138017 139782 209673 225846 256267 276034 414051 419346 512534 768801 828102 1242153 1537602 2306403 2484306 2647417 4612806 4915667 5294834 7942251 9831334 14747001 15884502 23826753 29121587 29494002 44241003 47653506 54072337 58243174 87364761 88482006 108144674 162217011 174729522 262094283 292307459 324434022 486651033 524188566 584614918 876922377 973302066 1753844754 2630767131 3215382049 5261534262 6430764098 9646146147 19292292294 28938438441 57876876882 61676873849 123353747698 185030621547 370061243094 555091864641 678445612339 1110183729282 1356891224678 2035336837017 4070673674034 6106010511051 12212021022102