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12230214144 = 29321413719
BaseRepresentation
bin10110110001111101…
…00100001000000000
31011120100022020210020
423120332210020000
5200021413323034
65341331533440
7612035051001
oct133076441000
934510266706
1012230214144
1152067009a5
122453a5a280
1311cba6a405
148404271a8
154b8a97249
hex2d8fa4200

12230214144 has 80 divisors (see below), whose sum is σ = 32606038080. Its totient is φ = 4073738240.

The previous prime is 12230214133. The next prime is 12230214151. The reversal of 12230214144 is 44141203221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3286717 + ... + 3290435.

It is an arithmetic number, because the mean of its divisors is an integer number (407575476).

Almost surely, 212230214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303019040).

12230214144 is an abundant number, since it is smaller than the sum of its proper divisors (20375823936).

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

12230214144 is an equidigital number, since it uses as much as digits as its factorization.

12230214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12230214144 its reverse (44141203221), we get a palindrome (56371417365).

The spelling of 12230214144 in words is "twelve billion, two hundred thirty million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2141 3719 4282 6423 7438 8564 11157 12846 14876 17128 22314 25692 29752 34256 44628 51384 59504 68512 89256 102768 119008 137024 178512 205536 238016 274048 357024 411072 476032 548096 714048 822144 952064 1096192 1428096 1644288 1904128 2856192 3288576 5712384 7962379 15924758 23887137 31849516 47774274 63699032 95548548 127398064 191097096 254796128 382194192 509592256 764388384 1019184512 1528776768 2038369024 3057553536 4076738048 6115107072 12230214144