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12122102022012 = 2233190758857727
BaseRepresentation
bin1011000001100110010110…
…0101011011111101111100
31120220212021010120111102000
42300121211211123331330
53042102031104201022
641440452232102300
72360535663042663
oct260314545337574
946825233514360
1012122102022012
113953a556291a4
121439417534990
1369c156222258
142dc9da179dda
151604cc6dc6ac
hexb066595bf7c

12122102022012 has 48 divisors (see below), whose sum is σ = 31444152606720. Its totient is φ = 4038581727216.

The previous prime is 12122102022011. The next prime is 12122102022013. The reversal of 12122102022012 is 21022020122121.

It is a happy number.

12122102022012 is a `hidden beast` number, since 1 + 212 + 210 + 20 + 220 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12122102022011) and next prime (12122102022013).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122102022011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29222908 + ... + 29634819.

It is an arithmetic number, because the mean of its divisors is an integer number (655086512640).

Almost surely, 212122102022012 is an apocalyptic number.

12122102022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122102022012 is an abundant number, since it is smaller than the sum of its proper divisors (19322050584708).

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

12122102022012 is a wasteful number, since it uses less digits than its factorization.

12122102022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58859647 (or 58859639 counting only the distinct ones).

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

Adding to 12122102022012 its reverse (21022020122121), we get a palindrome (33144122144133).

The spelling of 12122102022012 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1907 3814 5721 7628 11442 17163 22884 34326 51489 68652 102978 205956 58857727 117715454 176573181 235430908 353146362 529719543 706292724 1059439086 1589158629 2118878172 3178317258 6356634516 112241685389 224483370778 336725056167 448966741556 673450112334 1010175168501 1346900224668 2020350337002 3030525505503 4040700674004 6061051011006 12122102022012