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121221220218 = 237191489102019
BaseRepresentation
bin111000011100101011…
…0010000011101111010
3102120220010010000200220
41300321112100131322
53441230113021333
6131404355240510
711520655241130
oct1607126203572
9376803100626
10121221220218
1147456244a2a
121b5b08a9136
13b57b1cb497
145c1d5db750
1532472d38b3
hex1c3959077a

121221220218 has 64 divisors (see below), whose sum is σ = 291858816000. Its totient is φ = 32789401344.

The previous prime is 121221220217. The next prime is 121221220223. The reversal of 121221220218 is 812022122121.

It is a super-2 number, since 2×1212212202182 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121221220213) 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 31 ways as a sum of consecutive naturals, for example, 1137213 + ... + 1239231.

It is an arithmetic number, because the mean of its divisors is an integer number (4560294000).

Almost surely, 2121221220218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221220218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145929408000).

121221220218 is an abundant number, since it is smaller than the sum of its proper divisors (170637595782).

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

121221220218 is a wasteful number, since it uses less digits than its factorization.

121221220218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103539.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 121221220218 its reverse (812022122121), we get a palindrome (933243342339).

The spelling of 121221220218 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1489 2978 4467 8934 10423 20846 28291 31269 56582 62538 84873 102019 169746 198037 204038 306057 396074 594111 612114 714133 1188222 1428266 1938361 2142399 3876722 4284798 5815083 11630166 13568527 27137054 40705581 81411162 151906291 303812582 455718873 911437746 1063344037 2126688074 2886219529 3190032111 5772439058 6380064222 8658658587 17317317174 20203536703 40407073406 60610610109 121221220218