Search a number
-
+
12221230112 = 2571329144719
BaseRepresentation
bin10110110000111000…
…10010110000100000
31011112201101211000022
423120130102300200
5200012113330422
65340411213012
7611565512330
oct133034226040
934481354008
1012221230112
115201625083
122450a47168
1311c9c43110
1483d1690c0
154b7dc0342
hex2d8712c20

12221230112 has 96 divisors (see below), whose sum is σ = 30634329600. Its totient is φ = 4668023808.

The previous prime is 12221230051. The next prime is 12221230121. The reversal of 12221230112 is 21103212221.

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 15 ways as a sum of consecutive naturals, for example, 12089 + ... + 156807.

It is an arithmetic number, because the mean of its divisors is an integer number (319107600).

Almost surely, 212221230112 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 12221230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317164800).

12221230112 is an abundant number, since it is smaller than the sum of its proper divisors (18413099488).

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

12221230112 is a wasteful number, since it uses less digits than its factorization.

12221230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144778 (or 144770 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12221230112 its reverse (21103212221), we get a palindrome (33324442333).

The spelling of 12221230112 in words is "twelve billion, two hundred twenty-one million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1624 2639 2912 3016 3248 5278 6032 6496 10556 12064 21112 42224 84448 144719 289438 578876 1013033 1157752 1881347 2026066 2315504 3762694 4052132 4196851 4631008 7525388 8104264 8393702 13169429 15050776 16208528 16787404 26338858 29377957 30101552 32417056 33574808 52677716 54559063 58755914 60203104 67149616 105355432 109118126 117511828 134299232 210710864 218236252 235023656 381913441 421421728 436472504 470047312 763826882 872945008 940094624 1527653764 1745890016 3055307528 6110615056 12221230112