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1212221011122 = 2331197165712697
BaseRepresentation
bin10001101000111110000…
…000001011010010110010
311021212221202200210121000
4101220332000023102302
5124330112034323442
62324515303142430
7153402652404042
oct21507600132262
94255852623530
101212221011122
11428111181690
12176b2a444a16
138a409482234
1442959637722
15217eca65d4c
hex11a3e00b4b2

1212221011122 has 128 divisors (see below), whose sum is σ = 2971039438080. Its totient is φ = 363304673280.

The previous prime is 1212221011121. The next prime is 1212221011163. The reversal of 1212221011122 is 2211101222121.

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 = 1212221011095 and 1212221011104.

It is not an unprimeable number, because it can be changed into a prime (1212221011121) by changing a digit.

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, 95466678 + ... + 95479374.

It is an arithmetic number, because the mean of its divisors is an integer number (23211245610).

Almost surely, 21212221011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212221011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485519719040).

1212221011122 is an abundant number, since it is smaller than the sum of its proper divisors (1758818426958).

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

1212221011122 is a wasteful number, since it uses less digits than its factorization.

1212221011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14467 counting only the distinct ones).

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

Adding to 1212221011122 its reverse (2211101222121), we get a palindrome (3423322233243).

The spelling of 1212221011122 in words is "one trillion, two hundred twelve billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 194 198 291 297 582 594 873 1067 1657 1746 2134 2619 3201 3314 4971 5238 6402 9603 9942 12697 14913 18227 19206 25394 28809 29826 36454 38091 44739 54681 57618 76182 89478 109362 114273 139667 160729 164043 228546 279334 321458 328086 342819 419001 482187 492129 685638 838002 964374 984258 1231609 1257003 1446561 1768019 2463218 2514006 2893122 3536038 3694827 3771009 4339683 5304057 7389654 7542018 8679366 10608114 11084481 13547699 15912171 21038929 22168962 27095398 31824342 33253443 40643097 42077858 47736513 63116787 66506886 81286194 95473026 121929291 126233574 189350361 231428219 243858582 365787873 378700722 462856438 568051083 694284657 731575746 1136102166 1388569314 2040776113 2082853971 4081552226 4165707942 6122328339 6248561913 12244656678 12497123826 18366985017 22448537243 36733970034 44897074486 55100955051 67345611729 110201910102 134691223458 202036835187 404073670374 606110505561 1212221011122