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12022001110100 = 2252281427829221
BaseRepresentation
bin1010111011110001011100…
…0110110000110001010100
31120120021212221001022001002
42232330113012300301110
53033432024241010400
641322455302122432
72350363252243442
oct256742706606124
946507787038032
1012022001110100
113915558239523
121421b3ba20418
1369289283cc27
142d7c2196bb92
1515cabe6bced5
hexaef171b0c54

12022001110100 has 36 divisors (see below), whose sum is σ = 26180581411068. Its totient is φ = 4791687264000.

The previous prime is 12022001109997. The next prime is 12022001110109. The reversal of 12022001110100 is 101110022021.

12022001110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19947607696 + 12002053502404 = 141236^2 + 3464398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022001110109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213886511 + ... + 213942710.

Almost surely, 212022001110100 is an apocalyptic number.

12022001110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022001110100 is an abundant number, since it is smaller than the sum of its proper divisors (14158580300968).

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

12022001110100 is a wasteful number, since it uses less digits than its factorization.

12022001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427829516 (or 427829509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12022001110100 its reverse (101110022021), we get a palindrome (12123111132121).

The spelling of 12022001110100 in words is "twelve trillion, twenty-two billion, one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 14050 28100 427829221 855658442 1711316884 2139146105 4278292210 8556584420 10695730525 21391461050 42782922100 120220011101 240440022202 480880044404 601100055505 1202200111010 2404400222020 3005500277525 6011000555050 12022001110100