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12022210220220 = 22325102071654349
BaseRepresentation
bin1010111011110010001110…
…0100011101000010111100
31120120022102111112012012100
42232330203210131002330
53033432441304021340
641322532132105100
72350401401533104
oct256744344350274
946508374465170
1012022210220220
113915655284002
121421b99a65190
136928c6c66a25
142d7c41642204
1515cad2c26830
hexaef2391d0bc

12022210220220 has 72 divisors (see below), whose sum is σ = 36467784007200. Its totient is φ = 3205886417280.

The previous prime is 12022210220203. The next prime is 12022210220233. The reversal of 12022210220220 is 2202201222021.

12022210220220 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 221 + 0 + 220 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12022210220193 and 12022210220202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18045606 + ... + 18699954.

It is an arithmetic number, because the mean of its divisors is an integer number (506497000100).

Almost surely, 212022210220220 is an apocalyptic number.

12022210220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022210220220 is an abundant number, since it is smaller than the sum of its proper divisors (24445573786980).

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

12022210220220 is a wasteful number, since it uses less digits than its factorization.

12022210220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756435 (or 756430 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12022210220220 its reverse (2202201222021), we get a palindrome (14224411442241).

The spelling of 12022210220220 in words is "twelve trillion, twenty-two billion, two hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 102071 204142 306213 408284 510355 612426 654349 918639 1020710 1224852 1308698 1531065 1837278 1963047 2041420 2617396 3062130 3271745 3674556 3926094 4593195 5889141 6124260 6543490 7852188 9186390 9815235 11778282 13086980 18372780 19630470 23556564 29445705 39260940 58891410 117782820 66790056779 133580113558 200370170337 267160227116 333950283895 400740340674 601110511011 667900567790 801480681348 1001850851685 1202221022022 1335801135580 2003701703370 2404442044044 3005552555055 4007403406740 6011105110110 12022210220220