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12220220212122 = 23132171949363731
BaseRepresentation
bin1011000111010011110111…
…1000101000001110011010
31121021020112011020222210010
42301310331320220032122
53100204002333241442
641553520333302350
72400611306642166
oct261647570501632
947236464228703
1012220220212122
11399162580270a
12145443b0349b6
136a8491bc9800
14303667309ca6
15162d2160db9c
hexb1d3de2839a

12220220212122 has 96 divisors (see below), whose sum is σ = 28036317067200. Its totient is φ = 3537061831680.

The previous prime is 12220220212111. The next prime is 12220220212129. The reversal of 12220220212122 is 22121202202221.

It is not an unprimeable number, because it can be changed into a prime (12220220212129) 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, 33414997 + ... + 33778727.

It is an arithmetic number, because the mean of its divisors is an integer number (292044969450).

Almost surely, 212220220212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220220212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018158533600).

12220220212122 is an abundant number, since it is smaller than the sum of its proper divisors (15816096855078).

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

12220220212122 is a wasteful number, since it uses less digits than its factorization.

12220220212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365728 (or 365715 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12220220212122 its reverse (22121202202221), we get a palindrome (34341422414343).

The spelling of 12220220212122 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 1949 2873 3898 5746 5847 8619 11694 17238 25337 33133 50674 66266 76011 99399 152022 198798 329381 363731 430729 658762 727462 861458 988143 1091193 1292187 1976286 2182386 2584374 4728503 5599477 6183427 9457006 11198954 12366854 14185509 16798431 18550281 28371018 33596862 37100562 61470539 80384551 122941078 160769102 184411617 241153653 368823234 482307306 708911719 1044999163 1417823438 2089998326 2126735157 3134997489 4253470314 6269994978 9215852347 12051499223 18431704694 24102998446 27647557041 36154497669 55295114082 72308995338 119806080511 156669489899 239612161022 313338979798 359418241533 470008469697 718836483066 940016939394 2036703368687 4073406737374 6110110106061 12220220212122