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122212212012 = 2232111492717643
BaseRepresentation
bin111000111010001101…
…0100101110100101100
3102200110011211121212200
41301310122211310230
54000242311241022
6132050555501500
711554350443052
oct1616432456454
9380404747780
10122212212012
1147914675810
121b828757890
13b6a8603367
145cb50821d2
1532a42d5bac
hex1c746a5d2c

122212212012 has 144 divisors (see below), whose sum is σ = 340567718400. Its totient is φ = 36644918400.

The previous prime is 122212212007. The next prime is 122212212037. The reversal of 122212212012 is 210212212221.

It is a happy number.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15986263 + ... + 15993905.

It is an arithmetic number, because the mean of its divisors is an integer number (2365053600).

Almost surely, 2122212212012 is an apocalyptic number.

122212212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170283859200).

122212212012 is an abundant number, since it is smaller than the sum of its proper divisors (218355506388).

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

122212212012 is a wasteful number, since it uses less digits than its factorization.

122212212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8079 counting only the distinct ones).

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

Adding to 122212212012 its reverse (210212212221), we get a palindrome (332424424233).

The spelling of 122212212012 in words is "one hundred twenty-two billion, two hundred twelve million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 271 298 396 447 542 596 813 894 1084 1341 1626 1639 1788 2439 2682 2981 3252 3278 4878 4917 5364 5962 6556 7643 8943 9756 9834 11924 14751 15286 17886 19668 22929 26829 29502 30572 35772 40379 45858 53658 59004 68787 80758 84073 91716 107316 121137 137574 161516 168146 242274 252219 275148 336292 363411 444169 484548 504438 726822 756657 888338 1008876 1138807 1332507 1453644 1513314 1776676 2071253 2277614 2665014 3026628 3416421 3997521 4142506 4555228 5330028 6213759 6832842 7995042 8285012 10249263 12427518 12526877 13665684 15990084 18641277 20498526 22783783 24855036 25053754 37282554 37580631 40997052 45567566 50107508 68351349 74565108 75161262 91135132 112741893 136702698 150322524 205054047 225483786 273405396 308616697 410108094 450967572 617233394 820216188 925850091 1234466788 1851700182 2777550273 3394783667 3703400364 5555100546 6789567334 10184351001 11110201092 13579134668 20368702002 30553053003 40737404004 61106106006 122212212012