Search a number
-
+
120221221120011 = 321137327531182581
BaseRepresentation
bin11011010101011100101111…
…001011011110100000001011
3120202200000222121100022102200
4123111130233023132200023
5111224201030101320021
61103404511101131243
734215460634525544
oct3325345713364013
9522600877308380
10120221221120011
1135340596185a20
1211597817859b23
135210a7410109b
142198a496a34cb
15dd736ab54126
hex6d572f2de80b

120221221120011 has 48 divisors (see below), whose sum is σ = 190016537828832. Its totient is φ = 72639550771200.

The previous prime is 120221221120009. The next prime is 120221221120019. The reversal of 120221221120011 is 110021122122021.

120221221120011 is a `hidden beast` number, since 1 + 20 + 221 + 2 + 211 + 200 + 11 = 666.

It is not a de Polignac number, because 120221221120011 - 21 = 120221221120009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120221221120019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101068741 + ... + 102251321.

It is an arithmetic number, because the mean of its divisors is an integer number (3958677871434).

Almost surely, 2120221221120011 is an apocalyptic number.

120221221120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120221221120011 is a deficient number, since it is larger than the sum of its proper divisors (69795316708821).

120221221120011 is a wasteful number, since it uses less digits than its factorization.

120221221120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185724 (or 1185721 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120221221120011 its reverse (110021122122021), we get a palindrome (230242343242032).

The spelling of 120221221120011 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 99 373 1119 2753 3357 4103 8259 12309 24777 30283 36927 90849 272547 1026869 1182581 3080607 3547743 9241821 10643229 11295559 13008391 33886677 39025173 101660031 117075519 441102713 1323308139 3255645493 3969924417 4852129843 9766936479 14556389529 29300809437 35812100423 43669168587 107436301269 322308903807 1214355768889 3643067306667 10929201920001 13357913457779 40073740373337 120221221120011