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12002122101222 = 2331147795441851
BaseRepresentation
bin1010111010100111011000…
…1110010111000111100110
31120111101120112012000102000
42232221312032113013212
53033120321224214342
641305410534030130
72346060526406361
oct256516616270746
946441515160360
1012002122101222
113908087038970
12141a1124a8346
13690a45248396
142d6c9777d0d8
1515c3093a144c
hexaea763971e6

12002122101222 has 128 divisors (see below), whose sum is σ = 30091264819200. Its totient is φ = 3514564404000.

The previous prime is 12002122101217. The next prime is 12002122101223. The reversal of 12002122101222 is 22210122120021.

It is a happy number.

12002122101222 is a `hidden beast` number, since 1 + 20 + 0 + 212 + 210 + 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 = 12002122101195 and 12002122101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002122101223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515404 + ... + 4926447.

It is an arithmetic number, because the mean of its divisors is an integer number (235088006400).

Almost surely, 212002122101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002122101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045632409600).

12002122101222 is an abundant number, since it is smaller than the sum of its proper divisors (18089142717978).

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

12002122101222 is a wasteful number, since it uses less digits than its factorization.

12002122101222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441999 (or 5441993 counting only the distinct ones).

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

Adding to 12002122101222 its reverse (22210122120021), we get a palindrome (34212244221243).

The spelling of 12002122101222 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 79 94 99 141 158 198 237 282 297 423 474 517 594 711 846 869 1034 1269 1422 1551 1738 2133 2538 2607 3102 3713 4266 4653 5214 7426 7821 9306 11139 13959 15642 22278 23463 27918 33417 40843 46926 66834 81686 100251 122529 200502 245058 367587 735174 1102761 2205522 5441851 10883702 16325553 32651106 48976659 59860361 97953318 119720722 146929977 179581083 255766997 293859954 359162166 429906229 511533994 538743249 767300991 859812458 1077486498 1289718687 1534601982 1616229747 2301902973 2579437374 2813436967 3232459494 3869156061 4603805946 4728968519 5626873934 6905708919 7738312122 8440310901 9457937038 11607468183 13811417838 14186905557 16880621802 20205592763 23214936366 25320932703 28373811114 40411185526 42560716671 50641865406 60616778289 75962798109 85121433342 121233556578 127682150013 151925596218 181850334867 222261520393 255364300026 363700669734 444523040786 545551004601 666784561179 1091102009202 1333569122358 2000353683537 4000707367074 6001061050611 12002122101222