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121211302122 = 23323835572111
BaseRepresentation
bin111000011100011000…
…0011011000011101010
3102120212102110010122000
41300320300123003222
53441220043131442
6131403402511430
711520505032321
oct1607060330352
9376772403560
10121211302122
1147450690359
121b5a9505576
13b579137ca1
145c1c1790b8
1532464c4d4c
hex1c38c1b0ea

121211302122 has 128 divisors (see below), whose sum is σ = 285101752320. Its totient is φ = 38094851520.

The previous prime is 121211302111. The next prime is 121211302187. The reversal of 121211302122 is 221203112121.

It is a super-2 number, since 2×1212113021222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121211302095 and 121211302104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57417847 + ... + 57419957.

It is an arithmetic number, because the mean of its divisors is an integer number (2227357440).

Almost surely, 2121211302122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550876160).

121211302122 is an abundant number, since it is smaller than the sum of its proper divisors (163890450198).

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

121211302122 is a wasteful number, since it uses less digits than its factorization.

121211302122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121211302122 its reverse (221203112121), we get a palindrome (342414414243).

The spelling of 121211302122 in words is "one hundred twenty-one billion, two hundred eleven million, three hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 83 138 166 207 249 414 498 557 621 747 1114 1242 1494 1671 1909 2111 2241 3342 3818 4222 4482 5013 5727 6333 10026 11454 12666 12811 15039 17181 18999 25622 30078 34362 37998 38433 46231 48553 51543 56997 76866 92462 97106 103086 113994 115299 138693 145659 175213 230598 277386 291318 345897 350426 416079 436977 525639 691794 832158 873954 1051278 1063313 1175827 1248237 1310931 1576917 2126626 2351654 2496474 2621862 3153834 3189939 3527481 4029899 4730751 6379878 7054962 8059798 9461502 9569817 10582443 12089697 19139634 21164886 24179394 27044021 28709451 31747329 36269091 54088042 57418902 63494658 72538182 81132063 97593641 108807273 162264126 195187282 217614546 243396189 292780923 486792378 585561846 730188567 878342769 1460377134 1756685538 2244653743 2635028307 4489307486 5270056614 6733961229 13467922458 20201883687 40403767374 60605651061 121211302122