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121222012200012 = 2235190165604421
BaseRepresentation
bin11011100100000000110010…
…111110011110010001001100
3120220012201012110022202200000
4123210000302332132101030
5111342100140110400022
61105452342411204300
734351000316410353
oct3344006276362114
9526181173282600
10121222012200012
1135696a6a6a9a39
121171977a746690
1352842572486a9
1421d1268bd299a
15e033e1a7e6ac
hex6e4032f9e44c

121222012200012 has 72 divisors (see below), whose sum is σ = 317938447920912. Its totient is φ = 40386080952000.

The previous prime is 121222012199987. The next prime is 121222012200019. The reversal of 121222012200012 is 210002210222121.

It is a happy number.

121222012200012 is a `hidden beast` number, since 1 + 212 + 220 + 1 + 220 + 0 + 0 + 12 = 666.

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 (121222012200019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30954439 + ... + 34649982.

Almost surely, 2121222012200012 is an apocalyptic number.

121222012200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121222012200012 is an abundant number, since it is smaller than the sum of its proper divisors (196716435720900).

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

121222012200012 is a wasteful number, since it uses less digits than its factorization.

121222012200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65606341 (or 65606327 counting only the distinct ones).

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

Adding to 121222012200012 its reverse (210002210222121), we get a palindrome (331224222422133).

The spelling of 121222012200012 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, twelve million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1901 3802 5703 7604 11406 17109 22812 34218 51327 68436 102654 153981 205308 307962 461943 615924 923886 1847772 65604421 131208842 196813263 262417684 393626526 590439789 787253052 1180879578 1771319367 2361759156 3542638734 5313958101 7085277468 10627916202 15941874303 21255832404 31883748606 63767497212 124714004321 249428008642 374142012963 498856017284 748284025926 1122426038889 1496568051852 2244852077778 3367278116667 4489704155556 6734556233334 10101834350001 13469112466668 20203668700002 30305503050003 40407337400004 60611006100006 121222012200012