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121222011121101 = 32111976983804309
BaseRepresentation
bin11011100100000000110010…
…111010010110110111001101
3120220012201012101021221200100
4123210000302322112313031
5111342100134321333401
61105452342332121313
734351000304265012
oct3344006272266715
9526181171257610
10121222011121101
1135696a6a032380
121171977a306239
135284256c5b597
1421d12689d1709
15e033e1919b86
hex6e4032e96dcd

121222011121101 has 48 divisors (see below), whose sum is σ = 201331474344000. Its totient is φ = 69510645227520.

The previous prime is 121222011121091. The next prime is 121222011121109. The reversal of 121222011121101 is 101121110222121.

It is a happy number.

121222011121101 is a `hidden beast` number, since 1 + 212 + 220 + 11 + 121 + 101 = 666.

121222011121101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 121222011121101 - 239 = 120672255307213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222011121109) 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, 40455666 + ... + 43348643.

It is an arithmetic number, because the mean of its divisors is an integer number (4194405715500).

Almost surely, 2121222011121101 is an apocalyptic number.

121222011121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121222011121101 is a deficient number, since it is larger than the sum of its proper divisors (80109463222899).

121222011121101 is a wasteful number, since it uses less digits than its factorization.

121222011121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83805114 (or 83805111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121222011121101 its reverse (101121110222121), we get a palindrome (222343121343222).

It can be divided in two parts, 1212220 and 11121101, that added together give a palindrome (12333321).

The spelling of 121222011121101 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, eleven million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 769 1881 2307 6921 8459 14611 25377 43833 76131 131499 160721 482163 1446489 83804309 251412927 754238781 921847399 1592281871 2765542197 4776845613 8296626591 14330536839 17515100581 52545301743 64445513621 157635905229 193336540863 580009622589 708900649831 1224464758799 2126701949493 3673394276397 6380105848479 11020182829191 13469112346789 40407337040367 121222011121101