Search a number
-
+
12221310112 = 2511197923131
BaseRepresentation
bin10110110000111001…
…00110010010100000
31011112201112212202021
423120130212102200
5200012123410422
65340413031224
7611566264504
oct133034462240
934481485667
1012221310112
11520167a1a0
122450a85514
1311c9c7065b
1483d18a304
154b7dd8dc7
hex2d87264a0

12221310112 has 96 divisors (see below), whose sum is σ = 27980467200. Its totient is φ = 5195923200.

The previous prime is 12221310083. The next prime is 12221310137. The reversal of 12221310112 is 21101312221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516787 + ... + 539917.

It is an arithmetic number, because the mean of its divisors is an integer number (291463200).

Almost surely, 212221310112 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 12221310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990233600).

12221310112 is an abundant number, since it is smaller than the sum of its proper divisors (15759157088).

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

12221310112 is a wasteful number, since it uses less digits than its factorization.

12221310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23250 (or 23242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12221310112 its reverse (21101312221), we get a palindrome (33322622333).

The spelling of 12221310112 in words is "twelve billion, two hundred twenty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 79 88 152 158 176 209 304 316 352 418 608 632 836 869 1264 1501 1672 1738 2528 3002 3344 3476 6004 6688 6952 12008 13904 16511 23131 24016 27808 33022 46262 48032 66044 92524 132088 185048 254441 264176 370096 439489 508882 528352 740192 878978 1017764 1757956 1827349 2035528 3515912 3654698 4071056 4834379 7031824 7309396 8142112 9668758 14063648 14618792 19337516 20100839 29237584 34719631 38675032 40201678 58475168 69439262 77350064 80403356 138878524 154700128 160806712 277757048 321613424 381915941 555514096 643226848 763831882 1111028192 1527663764 3055327528 6110655056 12221310112