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1221011212122 = 2331310126964019
BaseRepresentation
bin10001110001001001111…
…100001000011101011010
311022201122101000021111000
4101301021330020131122
5130001112332241442
62332531431445430
7154133540026152
oct21611174103532
94281571007430
101221011212122
11430911aa7809
12178782226876
138b1aa626cc0
1443150c39762
1521b645eed4c
hex11c49f0875a

1221011212122 has 128 divisors (see below), whose sum is σ = 2962026144000. Its totient is φ = 370587398400.

The previous prime is 1221011212093. The next prime is 1221011212159. The reversal of 1221011212122 is 2212121101221.

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 = 1221011212095 and 1221011212104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19040629 + ... + 19104647.

It is an arithmetic number, because the mean of its divisors is an integer number (23140829250).

Almost surely, 21221011212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221011212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481013072000).

1221011212122 is an abundant number, since it is smaller than the sum of its proper divisors (1741014931878).

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

1221011212122 is a wasteful number, since it uses less digits than its factorization.

1221011212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64413 (or 64407 counting only the distinct ones).

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

Adding to 1221011212122 its reverse (2212121101221), we get a palindrome (3433132313343).

The spelling of 1221011212122 in words is "one trillion, two hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 269 303 351 538 606 702 807 909 1313 1614 1818 2421 2626 2727 3497 3939 4842 5454 6994 7263 7878 10491 11817 14526 20982 23634 27169 31473 35451 54338 62946 64019 70902 81507 94419 128038 163014 188838 192057 244521 353197 384114 489042 576171 706394 733563 832247 1059591 1152342 1467126 1664494 1728513 2119182 2496741 3178773 3457026 4993482 6357546 6465919 7490223 9536319 12931838 14980446 17221111 19072638 19397757 22470669 34442222 38795514 44941338 51663333 58193271 84056947 103326666 116386542 154989999 168113894 174579813 223874443 252170841 309979998 349159626 447748886 464969997 504341682 671623329 756512523 929939994 1343246658 1513025046 1739332211 2014869987 2269537569 3478664422 4029739974 4539075138 5217996633 6044609961 10435993266 12089219922 15653989899 22611318743 31307979798 45222637486 46961969697 67833956229 93923939394 135667912458 203501868687 407003737374 610505606061 1221011212122