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121220111221002 = 233172111275749057
BaseRepresentation
bin11011100011111111000001…
…101010110100000100001010
3120220012112021222022000201000
4123203333001222310010022
5111342032241433033002
61105451430022435430
734350602234352453
oct3343770152640412
9526175258260630
10121220111221002
1135696184645302
1211719329b92b76
135284013461341
1421d112855212a
15e0332ec2b61c
hex6e3fc1ab410a

121220111221002 has 128 divisors (see below), whose sum is σ = 286603868954880. Its totient is φ = 37845864161280.

The previous prime is 121220111220983. The next prime is 121220111221007. The reversal of 121220111221002 is 200122111022121.

121220111221002 is a `hidden beast` number, since 121 + 220 + 1 + 112 + 210 + 0 + 2 = 666.

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 (121220111221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470980858 + ... + 2471029914.

It is an arithmetic number, because the mean of its divisors is an integer number (2239092726210).

Almost surely, 2121220111221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220111221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143301934477440).

121220111221002 is an abundant number, since it is smaller than the sum of its proper divisors (165383757733878).

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

121220111221002 is a wasteful number, since it uses less digits than its factorization.

121220111221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62053 (or 62047 counting only the distinct ones).

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

Adding to 121220111221002 its reverse (200122111022121), we get a palindrome (321342222243123).

The spelling of 121220111221002 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 306 422 459 633 918 1266 1899 3587 3798 5697 7174 10761 11394 12757 21522 25514 32283 38271 49057 64566 76542 96849 98114 114813 147171 193698 216869 229626 294342 344439 433738 441513 650607 688878 833969 883026 1301214 1324539 1667938 1951821 2501907 2649078 2691727 3903642 5003814 5383454 5855463 7505721 8075181 10351027 11710926 15011442 16150362 20702054 22517163 24225543 31053081 45034326 45759359 48451086 62106162 72676629 91518718 93159243 137278077 145353258 175967459 186318486 274556154 279477729 351934918 411834231 527902377 558955458 625820149 823668462 1055804754 1235502693 1251640298 1583707131 1877460447 2471005386 3167414262 3754920894 4751121393 5632381341 9502242786 10638942533 11264762682 16897144023 21277885066 31916827599 33794288046 63833655198 95750482797 132048051439 191500965594 264096102878 287251448391 396144154317 574502896782 792288308634 1188432462951 2244816874463 2376864925902 3565297388853 4489633748926 6734450623389 7130594777706 13468901246778 20203351870167 40406703740334 60610055610501 121220111221002