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121120112022 = 237131967174259
BaseRepresentation
bin111000011001101010…
…0100011110110010110
3102120122001212012022220
41300303110203312112
53441023222041042
6131350344203210
711515316652060
oct1606324436626
9376561765286
10121120112022
1147404166938
121b582a69506
13b56328a450
145c0dddc730
15323d4b08ec
hex1c33523d96

121120112022 has 128 divisors (see below), whose sum is σ = 318519398400. Its totient is φ = 29810664576.

The previous prime is 121120111999. The next prime is 121120112077. The reversal of 121120112022 is 220211021121.

It is a junction number, because it is equal to n+sod(n) for n = 121120111992 and 121120112010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607929 + ... + 782187.

It is an arithmetic number, because the mean of its divisors is an integer number (2488432800).

Almost surely, 2121120112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159259699200).

121120112022 is an abundant number, since it is smaller than the sum of its proper divisors (197399286378).

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

121120112022 is a wasteful number, since it uses less digits than its factorization.

121120112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174370.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121120112022 its reverse (220211021121), we get a palindrome (341331133143).

Subtracting 121120112022 from its reverse (220211021121), we obtain a palindrome (99090909099).

The spelling of 121120112022 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 67 78 91 114 133 134 182 201 247 266 273 399 402 469 494 546 741 798 871 938 1273 1407 1482 1729 1742 2546 2613 2814 3458 3819 5187 5226 6097 7638 8911 10374 12194 16549 17822 18291 26733 33098 36582 49647 53466 99294 115843 174259 231686 347529 348518 522777 695058 1045554 1219813 2265367 2439626 3310921 3659439 4530734 6621842 6796101 7318878 9932763 11675353 13592202 15857569 19865526 23176447 23350706 31715138 35026059 43041973 46352894 47572707 69529341 70052118 81727471 86083946 95145414 129125919 139058682 151779589 163454942 221831707 245182413 258251838 301293811 303559178 443663414 455338767 490364826 602587622 665495121 903881433 910677534 1062457123 1330990242 1552821949 1807762866 2124914246 2883812191 3105643898 3187371369 4658465847 5767624382 6374742738 8651436573 9316931694 17302873146 20186685337 40373370674 60560056011 121120112022