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12001201222122 = 2327175602801691
BaseRepresentation
bin1010111010100011111101…
…0101011111000111101010
31120111022012100101111202200
42232220333111133013222
53033111430003101442
641305135320241030
72346025645150560
oct256507725370752
946438170344680
1012001201222122
113907754245862
121419ab6010176
136909295213c8
142d6c0b349a30
1515c2a35ed34c
hexaea3f55f1ea

12001201222122 has 48 divisors (see below), whose sum is σ = 31465334302272. Its totient is φ = 3227213773440.

The previous prime is 12001201222117. The next prime is 12001201222189. The reversal of 12001201222122 is 22122210210021.

It is a happy number.

12001201222122 is a `hidden beast` number, since 1 + 200 + 120 + 1 + 222 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12001201222095 and 12001201222104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2801398704 + ... + 2801402987.

It is an arithmetic number, because the mean of its divisors is an integer number (655527797964).

Almost surely, 212001201222122 is an apocalyptic number.

12001201222122 is an abundant number, since it is smaller than the sum of its proper divisors (19464133080150).

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

12001201222122 is a wasteful number, since it uses less digits than its factorization.

12001201222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602801723 (or 5602801720 counting only the distinct ones).

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

Adding to 12001201222122 its reverse (22122210210021), we get a palindrome (34123411432143).

It can be divided in two parts, 1200120 and 1222122, that added together give a palindrome (2422242).

The spelling of 12001201222122 in words is "twelve trillion, one billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 5602801691 11205603382 16808405073 33616810146 39219611837 50425215219 78439223674 95247628747 100850430438 117658835511 190495257494 235317671022 285742886241 352976506533 571485772482 666733401229 705953013066 857228658723 1333466802458 1714457317446 2000200203687 4000400407374 6000600611061 12001201222122