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121220221302 = 2344383209659
BaseRepresentation
bin111000011100101001…
…0011100100101110110
3102120220001020021110000
41300321102130211312
53441224334040202
6131404322012130
711520643610625
oct1607122344566
9376801207400
10121220221302
1147455722484
121b5b04a7046
13b57ac3b8cb
145c1d41b6bc
15324718791c
hex1c3949c976

121220221302 has 80 divisors (see below), whose sum is σ = 281289919680. Its totient is φ = 38991356208.

The previous prime is 121220221271. The next prime is 121220221303. The reversal of 121220221302 is 203122022121.

121220221302 is a `hidden beast` number, since 121 + 2 + 20 + 221 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220221303) 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 39 ways as a sum of consecutive naturals, for example, 473349 + ... + 683007.

It is an arithmetic number, because the mean of its divisors is an integer number (3516123996).

Almost surely, 2121220221302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220221302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140644959840).

121220221302 is an abundant number, since it is smaller than the sum of its proper divisors (160069698378).

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

121220221302 is a wasteful number, since it uses less digits than its factorization.

121220221302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209799 (or 209790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121220221302 its reverse (203122022121), we get a palindrome (324342243423).

The spelling of 121220221302 in words is "one hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 81 83 86 129 162 166 249 258 387 498 747 774 1161 1494 2241 2322 3483 3569 4482 6723 6966 7138 10707 13446 21414 32121 64242 96363 192726 209659 289089 419318 578178 628977 1257954 1886931 3773862 5660793 9015337 11321586 16982379 17401697 18030674 27046011 33964758 34803394 52205091 54092022 81138033 104410182 156615273 162276066 243414099 313230546 469845819 486828198 730242297 748272971 939691638 1409537457 1460484594 1496545942 2244818913 2819074914 4489637826 6734456739 13468913478 20203370217 40406740434 60610110651 121220221302