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212221112020112 = 241379101467927329
BaseRepresentation
bin110000010000001110010011…
…111111101110110010010000
31000211102010210011222120221002
4300100032103333232302100
5210304012314134120422
62031205011041321132
762462316664436216
oct6020162377566220
91024363704876832
10212221112020112
1161690517162558
121b975a590361a8
139155498b74410
143a597b1556cb6
151980558b0c692
hexc10393feec90

212221112020112 has 160 divisors (see below), whose sum is σ = 452965758336000. Its totient is φ = 95726879539200.

The previous prime is 212221112020109. The next prime is 212221112020123. The reversal of 212221112020112 is 211020211122212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7765404464 + ... + 7765431792.

It is an arithmetic number, because the mean of its divisors is an integer number (2831035989600).

Almost surely, 2212221112020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221112020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226482879168000).

212221112020112 is an abundant number, since it is smaller than the sum of its proper divisors (240744646315888).

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

212221112020112 is a wasteful number, since it uses less digits than its factorization.

212221112020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32209 (or 32203 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212221112020112 its reverse (211020211122212), we get a palindrome (423241323142324).

The spelling of 212221112020112 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred twelve million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 79 101 104 158 202 208 316 404 632 808 1027 1264 1313 1616 2054 2626 4108 4679 5252 7979 8216 9358 10504 15958 16432 18716 21008 27329 31916 37432 54658 60827 63832 74864 103727 109316 121654 127664 207454 218632 243308 355277 369641 414908 437264 472579 486616 710554 739282 829816 945158 973232 1421108 1478564 1659632 1890316 2158991 2760229 2842216 2957128 3780632 4317982 4805333 5520458 5684432 5914256 6143527 7561264 8635964 9610666 11040916 12287054 17271928 19221332 22081832 24574108 28066883 34543856 35882977 37333741 38442664 44163664 49148216 56133766 71765954 74667482 76885328 98296432 112267532 127872391 143531908 149334964 218058091 224535064 255744782 287063816 298669928 436116182 449070128 485338633 511489564 574127632 597339856 872232364 970677266 1022979128 1662341083 1744464728 1941354532 2045958256 2834755183 3324682166 3488929456 3882709064 5669510366 6649364332 7765418128 10101918889 11339020732 12915111491 13298728664 20203837778 22678041464 25830222982 26597457328 40407675556 45356082928 51660445964 80815351112 103320891928 131324945557 161630702224 167896449383 206641783856 262649891114 335792898766 525299782228 671585797532 1020293807789 1050599564456 1343171595064 2040587615578 2101199128912 2686343190128 4081175231156 8162350462312 13263819501257 16324700924624 26527639002514 53055278005028 106110556010056 212221112020112