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22120022201112 = 23321117296641249
BaseRepresentation
bin1010000011110001110000…
…00100001101001100011000
32220022122122101020220022200
411001320320010031030120
510344403301140413422
6115013444203250200
74442055525266433
oct501707004151430
986278571226280
1022120022201112
117059059956a70
122593012819960
13c45ba8506704
14566886d9281a
152855d4c522ac
hex141e3810d318

22120022201112 has 144 divisors (see below), whose sum is σ = 69425141175000. Its totient is φ = 6308740669440.

The previous prime is 22120022201099. The next prime is 22120022201141. The reversal of 22120022201112 is 21110222002122.

It is a happy number.

22120022201112 is a `hidden beast` number, since 221 + 200 + 2 + 220 + 11 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48091737 + ... + 48549512.

Almost surely, 222120022201112 is an apocalyptic number.

22120022201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22120022201112 is an abundant number, since it is smaller than the sum of its proper divisors (47305118973888).

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

22120022201112 is a wasteful number, since it uses less digits than its factorization.

22120022201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96641306 (or 96641282 counting only the distinct ones).

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

Adding to 22120022201112 its reverse (21110222002122), we get a palindrome (43230244203234).

The spelling of 22120022201112 in words is "twenty-two trillion, one hundred twenty billion, twenty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 289 306 374 396 408 561 578 612 748 792 867 1122 1156 1224 1496 1683 1734 2244 2312 2601 3179 3366 3468 4488 5202 6358 6732 6936 9537 10404 12716 13464 19074 20808 25432 28611 38148 57222 76296 114444 228888 96641249 193282498 289923747 386564996 579847494 773129992 869771241 1063053739 1159694988 1642901233 1739542482 2126107478 2319389976 3189161217 3285802466 3479084964 4252214956 4928703699 6378322434 6571604932 6958169928 8504429912 9567483651 9857407398 12756644868 13143209864 14786111097 18071913563 19134967302 19714814796 25513289736 27929320961 29572222194 36143827126 38269934604 39429629592 54215740689 55858641922 59144444388 72287654252 76539869208 83787962883 108431481378 111717283844 118288888776 144575308504 162647222067 167575925766 216862962756 223434567688 251363888649 307222530571 325294444134 335151851532 433725925512 502727777298 614445061142 650588888268 670303703064 921667591713 1005455554596 1228890122284 1301177776536 1843335183426 2010911109192 2457780244568 2765002775139 3686670366852 5530005550278 7373340733704 11060011100556 22120022201112