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12012212221002 = 2337911117129789
BaseRepresentation
bin1010111011001100111110…
…1001000111010001001010
31120112100121201112012122000
42232303033221013101022
53033302002312033002
641314200100211430
72346565550123250
oct256631751072112
946470551465560
1012012212221002
113911394706234
121420069699b76
136919927ca166
142d75738805d0
1515c6ea11161c
hexaeccfa4744a

12012212221002 has 128 divisors (see below), whose sum is σ = 30567800217600. Its totient is φ = 3425250628800.

The previous prime is 12012212220991. The next prime is 12012212221007. The reversal of 12012212221002 is 20012221221021.

It is a happy number.

12012212221002 is a `hidden beast` number, since 120 + 1 + 221 + 222 + 100 + 2 = 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 (12012212221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403228324 + ... + 403258112.

It is an arithmetic number, because the mean of its divisors is an integer number (238810939200).

Almost surely, 212012212221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012212221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283900108800).

12012212221002 is an abundant number, since it is smaller than the sum of its proper divisors (18555587996598).

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

12012212221002 is a wasteful number, since it uses less digits than its factorization.

12012212221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31889 (or 31883 counting only the distinct ones).

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

Adding to 12012212221002 its reverse (20012221221021), we get a palindrome (32024433442023).

The spelling of 12012212221002 in words is "twelve trillion, twelve billion, two hundred twelve million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 911 1171 1822 2342 2733 3513 5466 6377 7026 8197 8199 10539 12754 16394 16398 19131 21078 24591 24597 29789 31617 38262 49182 49194 57393 59578 63234 73773 89367 114786 147546 172179 178734 208523 221319 268101 344358 417046 442638 536202 625569 804303 1066781 1251138 1608606 1876707 2133562 3200343 3753414 5630121 6400686 7467467 9601029 11260242 14934934 19202058 22402401 27137779 28803087 34882919 44804802 54275558 57606174 67207203 69765838 81413337 104648757 134414406 162826674 189964453 201621609 209297514 244180433 244240011 313946271 379928906 403243218 488360866 488480022 569893359 627892542 732541299 732720033 941838813 1139786718 1465082598 1465440066 1709680077 1883677626 2197623897 3419360154 4395247794 5129040231 6592871691 10258080462 13185743382 31778339209 63556678418 95335017627 190670035254 222448374463 286005052881 444896748926 572010105762 667345123389 858015158643 1334690246778 1716030317286 2002035370167 4004070740334 6006106110501 12012212221002