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12122102120202 = 23241227241300247
BaseRepresentation
bin1011000001100110010110…
…0101110011111100001010
31120220212021010202111002200
42300121211211303330022
53042102031120321302
641440452234141030
72360535663632154
oct260314545637412
946825233674080
1012122102120202
113953a55695a48
121439417581776
1369c156257b59
142dc9da1a3ad4
151604cc70b81c
hexb0665973f0a

12122102120202 has 96 divisors (see below), whose sum is σ = 27135900215424. Its totient is φ = 3908482329600.

The previous prime is 12122102120173. The next prime is 12122102120203. The reversal of 12122102120202 is 20202120122121.

It is a happy number.

12122102120202 is a `hidden beast` number, since 1 + 212 + 210 + 21 + 20 + 202 = 666.

12122102120202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12122102120203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40223643 + ... + 40523889.

It is an arithmetic number, because the mean of its divisors is an integer number (282665627244).

Almost surely, 212122102120202 is an apocalyptic number.

12122102120202 is an abundant number, since it is smaller than the sum of its proper divisors (15013798095222).

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

12122102120202 is a wasteful number, since it uses less digits than its factorization.

12122102120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300764 (or 300761 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122102120202 its reverse (20202120122121), we get a palindrome (32324222242323).

The spelling of 12122102120202 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 227 241 246 369 454 482 681 723 738 1362 1446 2043 2169 4086 4338 9307 9881 18614 19762 27921 29643 54707 55842 59286 83763 88929 109414 164121 167526 177858 300247 328242 492363 600494 900741 984726 1801482 2242987 2702223 4485974 5404446 6728961 12310127 13457922 20186883 24620254 36930381 40373766 68156069 72359527 73860762 110791143 136312138 144719054 204468207 217078581 221582286 408936414 434157162 613404621 651235743 1226809242 1302471486 2794398829 2966740607 5588797658 5933481214 8383196487 8900221821 16425612629 16766392974 17800443642 25149589461 26700665463 32851225258 49276837887 50299178922 53401330926 98553675774 147830513661 295661027322 673450117789 1346900235578 2020350353367 4040700706734 6061051060101 12122102120202