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212001222102020 = 225133893823548291
BaseRepresentation
bin110000001101000001100001…
…100010010000110000000100
31000210122010012200022101011122
4300031001201202100300010
5210241412000324231040
62030520003353253112
762440403626120631
oct6015014142206004
91023563180271148
10212001222102020
116160623901a51a
121b93b310404198
13913a824c11050
143a4ccb1a47188
1519799894141b5
hexc0d061890c04

212001222102020 has 96 divisors (see below), whose sum is σ = 480808045186560. Its totient is φ = 78055582026240.

The previous prime is 212001222102013. The next prime is 212001222102079. The reversal of 212001222102020 is 20201222100212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212001222102020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386384075 + ... + 386932365.

It is an arithmetic number, because the mean of its divisors is an integer number (5008417137360).

Almost surely, 2212001222102020 is an apocalyptic number.

212001222102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001222102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240404022593280).

212001222102020 is an abundant number, since it is smaller than the sum of its proper divisors (268806823084540).

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

212001222102020 is a wasteful number, since it uses less digits than its factorization.

212001222102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552525 (or 552523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212001222102020 its reverse (20201222100212), we get a palindrome (232202444202232).

The spelling of 212001222102020 in words is "two hundred twelve trillion, one billion, two hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 389 778 1556 1945 3823 3890 5057 7646 7780 10114 15292 19115 20228 25285 38230 49699 50570 76460 99398 101140 198796 248495 496990 548291 993980 1096582 1487147 2193164 2741455 2974294 5482910 5948588 7127783 7435735 10965820 14255566 14871470 19332911 28511132 29742940 35638915 38665822 71277830 77331644 96664555 142555660 193329110 213285199 386658220 426570398 853140796 1066425995 2096116493 2132851990 2772707587 4192232986 4265703980 5545415174 8384465972 10480582465 11090830348 13863537935 20961164930 27249514409 27727075870 41922329860 54499028818 55454151740 108998057636 136247572045 272495144090 544990288180 815389315777 1630778631554 3261557263108 4076946578885 8153893157770 10600061105101 16307786315540 21200122210202 42400244420404 53000305525505 106000611051010 212001222102020