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201222110120020 = 225112111847743423
BaseRepresentation
bin101101110000001010101100…
…011001010000100001010100
3222101110122102211102122021221
4231300022230121100201110
5202333310340142320040
61551544054454420124
760245550321041053
oct5560125431204124
9871418384378257
10201222110120020
115912a8aa349900
121a69a239661644
138838218473732
1437992b879639a
15183e3aedab74a
hexb702ac650854

201222110120020 has 72 divisors (see below), whose sum is σ = 464478623465472. Its totient is φ = 73170923770560.

The previous prime is 201222110119991. The next prime is 201222110120051. The reversal of 201222110120020 is 20021011222102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201222110119976 and 201222110120003.

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 23 ways as a sum of consecutive naturals, for example, 270298029 + ... + 271041451.

It is an arithmetic number, because the mean of its divisors is an integer number (6451091992576).

Almost surely, 2201222110120020 is an apocalyptic number.

201222110120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222110120020 is an abundant number, since it is smaller than the sum of its proper divisors (263256513345452).

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

201222110120020 is a wasteful number, since it uses less digits than its factorization.

201222110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855301 (or 855288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201222110120020 its reverse (20021011222102), we get a palindrome (221243121342122).

The spelling of 201222110120020 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 111847 223694 447388 559235 743423 1118470 1230317 1486846 2236940 2460634 2973692 3717115 4921268 6151585 7434230 8177653 12303170 13533487 14868460 16355306 24606340 27066974 32710612 40888265 54133948 67667435 81776530 89954183 135334870 163553060 179908366 270669740 359816732 449770915 899541830 1799083660 83149632281 166299264562 332598529124 415748161405 831496322810 914645955091 1662992645620 1829291910182 3658583820364 4573229775455 9146459550910 10061105506001 18292919101820 20122211012002 40244422024004 50305527530005 100611055060010 201222110120020