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122022210212 = 227444928297
BaseRepresentation
bin111000110100100010…
…1110010101010100100
3102122221221022112101222
41301221011302222210
53444400141211322
6132020051235512
711546552450000
oct1615105625244
9378857275358
10122022210212
11478273a1631
121b794ba8b98
13b678139b66
145c97b43700
1532927a3e42
hex1c69172aa4

122022210212 has 60 divisors (see below), whose sum is σ = 249677498700. Its totient is φ = 52176918528.

The previous prime is 122022210187. The next prime is 122022210239. The reversal of 122022210212 is 212012220221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39460233316 + 82561976896 = 198646^2 + 287336^2 .

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 19 ways as a sum of consecutive naturals, for example, 4298048 + ... + 4326344.

It is an arithmetic number, because the mean of its divisors is an integer number (4161291645).

Almost surely, 2122022210212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124838749350).

122022210212 is an abundant number, since it is smaller than the sum of its proper divisors (127655288488).

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

122022210212 is an equidigital number, since it uses as much as digits as its factorization.

122022210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28778 (or 28755 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122022210212 its reverse (212012220221), we get a palindrome (334034430433).

The spelling of 122022210212 in words is "one hundred twenty-two billion, twenty-two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 343 449 686 898 1372 1796 2401 3143 4802 6286 9604 12572 22001 28297 44002 56594 88004 113188 154007 198079 308014 396158 616028 792316 1078049 1386553 2156098 2773106 4312196 5546212 9705871 12705353 19411742 25410706 38823484 50821412 67941097 88937471 135882194 177874942 271764388 355749884 622562297 1245124594 2490249188 4357936079 8715872158 17431744316 30505552553 61011105106 122022210212