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12022203222 = 234192311661
BaseRepresentation
bin10110011001001010…
…00100001101010110
31011000211220012110000
423030211010031112
5144110141000342
65304541312130
7603631020111
oct131445041526
934024805400
1012022203222
11510a247247
1223b6265646
131197939a23
1482095b578
154a56a944c
hex2cc944356

12022203222 has 120 divisors (see below), whose sum is σ = 28565654832. Its totient is φ = 3778552800.

The previous prime is 12022203187. The next prime is 12022203253. The reversal of 12022203222 is 22230222021.

12022203222 is a `hidden beast` number, since 120 + 2 + 220 + 322 + 2 = 666.

It is a super-2 number, since 2×120222032222 (a number of 21 digits) contains 22 as substring.

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 = 12022203195 and 12022203204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18187572 + ... + 18188232.

Almost surely, 212022203222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022203222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282827416).

12022203222 is an abundant number, since it is smaller than the sum of its proper divisors (16543451610).

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

12022203222 is a wasteful number, since it uses less digits than its factorization.

12022203222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12022203222 its reverse (22230222021), we get a palindrome (34252425243).

The spelling of 12022203222 in words is "twelve billion, twenty-two million, two hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 311 342 361 513 622 661 722 933 1026 1083 1322 1539 1866 1983 2166 2799 3078 3249 3966 5598 5909 5949 6498 8397 9747 11818 11898 12559 16794 17727 17847 19494 25118 25191 29241 35454 35694 37677 50382 53181 53541 58482 75354 106362 107082 112271 113031 159543 205571 224542 226062 238621 319086 336813 339093 411142 477242 478629 616713 673626 678186 715863 957258 1010439 1017279 1233426 1431726 1850139 2020878 2034558 2147589 3031317 3700278 3905849 4295178 5550417 6062634 6442767 7811698 9093951 11100834 11717547 12885534 16651251 18187902 19328301 23435094 33302502 35152641 38656602 70305282 74211131 105457923 148422262 210915846 222633393 316373769 445266786 632747538 667900179 1335800358 2003700537 4007401074 6011101611 12022203222