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201212211222020 = 225149461146466109
BaseRepresentation
bin101101110000000001011110…
…010111111101011000000100
3222101102200212221220112001002
4231300001132113331120010
5202333130102033101040
61551535340322552432
760245050111561115
oct5560013627753004
9871380787815032
10201212211222020
115912668a709269
121a698336508718
1388372cb6c453b
143798a19c3020c
15183ded0d1ea15
hexb7005e5fd604

201212211222020 has 48 divisors (see below), whose sum is σ = 426304259766000. Its totient is φ = 79771301061120.

The previous prime is 201212211221999. The next prime is 201212211222047. The reversal of 201212211222020 is 20222112212102.

It can be written as a sum of positive squares in 8 ways, for example, as 34216346076676 + 166995865145344 = 5849474^2 + 12922688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201212211221983 and 201212211222001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71859275 + ... + 74606834.

It is an arithmetic number, because the mean of its divisors is an integer number (8881338745125).

Almost surely, 2201212211222020 is an apocalyptic number.

201212211222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212211222020 is an abundant number, since it is smaller than the sum of its proper divisors (225092048543980).

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

201212211222020 is a wasteful number, since it uses less digits than its factorization.

201212211222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146466728 (or 146466726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201212211222020 its reverse (20222112212102), we get a palindrome (221434323434122).

The spelling of 201212211222020 in words is "two hundred one trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 149 298 461 596 745 922 1490 1844 2305 2980 4610 9220 68689 137378 274756 343445 686890 1373780 146466109 292932218 585864436 732330545 1464661090 2929322180 21823450241 43646900482 67520876249 87293800964 109117251205 135041752498 218234502410 270083504996 337604381245 436469004820 675208762490 1350417524980 10060610561101 20121221122202 40242442244404 50303052805505 100606105611010 201212211222020