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12332321112 = 23337531571669
BaseRepresentation
bin10110111110001000…
…00100100101011000
31011211110102211012210
423133010010211120
5200224033233422
65355420235120
7614414666646
oct133704044530
934743384183
1012332321112
115259301421
12248209baa0
131216c6ac37
1484dc06196
154c2a1610c
hex2df104958

12332321112 has 128 divisors (see below), whose sum is σ = 32486443200. Its totient is φ = 3896875008.

The previous prime is 12332321093. The next prime is 12332321147. The reversal of 12332321112 is 21112323321.

It is a super-2 number, since 2×123323211122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7388214 + ... + 7389882.

Almost surely, 212332321112 is an apocalyptic number.

12332321112 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 12332321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243221600).

12332321112 is an abundant number, since it is smaller than the sum of its proper divisors (20154122088).

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

12332321112 is a wasteful number, since it uses less digits than its factorization.

12332321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1921 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12332321112 its reverse (21112323321), we get a palindrome (33444644433).

The spelling of 12332321112 in words is "twelve billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 157 159 212 222 296 314 318 424 444 471 628 636 888 942 1256 1272 1669 1884 1961 3338 3768 3922 5007 5809 5883 6676 7844 8321 10014 11618 11766 13352 15688 16642 17427 20028 23236 23532 24963 33284 34854 40056 46472 47064 49926 61753 66568 69708 88457 99852 123506 139416 176914 185259 199704 247012 262033 265371 307877 353828 370518 494024 524066 530742 615754 707656 741036 786099 923631 1048132 1061484 1231508 1482072 1572198 1847262 2096264 2122968 2463016 3144396 3272909 3694524 6288792 6545818 7389048 9695221 9818727 13091636 13887749 19390442 19637454 26183272 27775498 29085663 38780884 39274908 41663247 55550996 58171326 77561768 78549816 83326494 111101992 116342652 166652988 232685304 333305976 513846713 1027693426 1541540139 2055386852 3083080278 4110773704 6166160556 12332321112