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12011012122212 = 223217191032938779
BaseRepresentation
bin1010111011001000100000…
…0111000110011001100100
31120112020112002022212120200
42232302020013012121210
53033242023100402322
641313441030030500
72346524035344045
oct256621007063144
946466462285520
1012011012122212
113910929242254
12141b9937a8430
13691830c9ca2c
142d749c3268cc
1515c679aa68ac
hexaec881c6664

12011012122212 has 72 divisors (see below), whose sum is σ = 33839074432800. Its totient is φ = 3569836416768.

The previous prime is 12011012122181. The next prime is 12011012122217. The reversal of 12011012122212 is 21222121011021.

12011012122212 is a `hidden beast` number, since 120 + 110 + 1 + 212 + 221 + 2 = 666.

It is a super-2 number, since 2×120110121222122 (a number of 27 digits) contains 22 as substring.

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 (12011012122217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516457762 + ... + 516481017.

It is an arithmetic number, because the mean of its divisors is an integer number (469987144900).

Almost surely, 212011012122212 is an apocalyptic number.

12011012122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011012122212 is an abundant number, since it is smaller than the sum of its proper divisors (21828062310588).

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

12011012122212 is a wasteful number, since it uses less digits than its factorization.

12011012122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032938825 (or 1032938820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12011012122212 its reverse (21222121011021), we get a palindrome (33233133133233).

The spelling of 12011012122212 in words is "twelve trillion, eleven billion, twelve million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 1032938779 2065877558 3098816337 4131755116 6197632674 9296449011 12395265348 17559959243 18592898022 19625836801 35119918486 37185796044 39251673602 52679877729 58877510403 70239836972 78503347204 105359755458 117755020806 158039633187 176632531209 210719510916 235510041612 316079266374 333639225617 353265062418 632158532748 667278451234 706530124836 1000917676851 1334556902468 2001835353702 3002753030553 4003670707404 6005506061106 12011012122212