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12221011332 = 22323117363299
BaseRepresentation
bin10110110000110110…
…11101010110000100
31011112200222200220100
423120123131112010
5200012034330312
65340402404100
7611563611435
oct133033352604
934480880810
1012221011332
115201495772
122450960630
1311c9b9766a
1483d10d48c
154b7d7a5dc
hex2d86dd584

12221011332 has 72 divisors (see below), whose sum is σ = 32073350400. Its totient is φ = 3919412160.

The previous prime is 12221011303. The next prime is 12221011339. The reversal of 12221011332 is 23311012221.

12221011332 is a `hidden beast` number, since 122 + 210 + 1 + 1 + 332 = 666.

12221011332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12221011339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161419 + ... + 224717.

It is an arithmetic number, because the mean of its divisors is an integer number (445463200).

Almost surely, 212221011332 is an apocalyptic number.

12221011332 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 12221011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036675200).

12221011332 is an abundant number, since it is smaller than the sum of its proper divisors (19852339068).

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

12221011332 is a wasteful number, since it uses less digits than its factorization.

12221011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63513 (or 63508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12221011332 its reverse (23311012221), we get a palindrome (35532023553).

The spelling of 12221011332 in words is "twelve billion, two hundred twenty-one million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 173 186 279 346 372 519 558 692 1038 1116 1557 2076 3114 5363 6228 10726 16089 21452 32178 48267 63299 64356 96534 126598 189897 193068 253196 379794 569691 759588 1139382 1962269 2278764 3924538 5886807 7849076 10950727 11773614 17660421 21901454 23547228 32852181 35320842 43802908 65704362 70641684 98556543 131408724 197113086 339472537 394226172 678945074 1018417611 1357890148 2036835222 3055252833 4073670444 6110505666 12221011332