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121221101220 = 223512715908281
BaseRepresentation
bin111000011100101010…
…1110011011010100100
3102120220002212222110120
41300321111303122210
53441230100214340
6131404352521540
711520654234162
oct1607125633244
9376802788416
10121221101220
114745617358a
121b5b08502b0
13b57b18927b
145c1d5aa232
1532472ad4d0
hex1c395736a4

121221101220 has 48 divisors (see below), whose sum is σ = 342091696128. Its totient is φ = 32071092480.

The previous prime is 121221101213. The next prime is 121221101227. The reversal of 121221101220 is 22101122121.

It is an interprime number because it is at equal distance from previous prime (121221101213) and next prime (121221101227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121221101220.

It is not an unprimeable number, because it can be changed into a prime (121221101227) 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 15 ways as a sum of consecutive naturals, for example, 7946521 + ... + 7961760.

It is an arithmetic number, because the mean of its divisors is an integer number (7126910336).

Almost surely, 2121221101220 is an apocalyptic number.

121221101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221101220 is an abundant number, since it is smaller than the sum of its proper divisors (220870594908).

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

121221101220 is a wasteful number, since it uses less digits than its factorization.

121221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908420 (or 15908418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121221101220 its reverse (22101122121), we get a palindrome (143322223341).

The spelling of 121221101220 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 15908281 31816562 47724843 63633124 79541405 95449686 159082810 190899372 238624215 318165620 477248430 954496860 2020351687 4040703374 6061055061 8081406748 10101758435 12122110122 20203516870 24244220244 30305275305 40407033740 60610550610 121221101220