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12011221100232 = 2332592827500259
BaseRepresentation
bin1010111011001001010010…
…0100010010011011001000
31120112021001122120001112100
42232302110210102123020
53033242440100201412
641313513453113400
72346532153543314
oct256622444223310
946467048501470
1012011221100232
113910a261a7562
12141ba31788860
1369186537b673
142d74bbda4b44
1515c68d0d5edc
hexaec949126c8

12011221100232 has 48 divisors (see below), whose sum is σ = 33081753042000. Its totient is φ = 3935880359136.

The previous prime is 12011221100227. The next prime is 12011221100233. The reversal of 12011221100232 is 23200112211021.

12011221100232 is a `hidden beast` number, since 1 + 201 + 1 + 221 + 10 + 0 + 232 = 666.

It is a super-3 number, since 3×120112211002323 (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12011221100233) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1413745882 + ... + 1413754377.

It is an arithmetic number, because the mean of its divisors is an integer number (689203188375).

Almost surely, 212011221100232 is an apocalyptic number.

12011221100232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011221100232 is an abundant number, since it is smaller than the sum of its proper divisors (21070531941768).

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

12011221100232 is a wasteful number, since it uses less digits than its factorization.

12011221100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827500330 (or 2827500323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12011221100232 its reverse (23200112211021), we get a palindrome (35211333311253).

The spelling of 12011221100232 in words is "twelve trillion, eleven billion, two hundred twenty-one million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 2827500259 5655000518 8482500777 11310001036 16965001554 22620002072 25447502331 33930003108 50895004662 67860006216 101790009324 166822515281 203580018648 333645030562 500467545843 667290061124 1000935091686 1334580122248 1501402637529 2001870183372 3002805275058 4003740366744 6005610550116 12011221100232