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12331322112 = 28337641677
BaseRepresentation
bin10110111110000000…
…10000101100000000
31011211101120001211210
423133000100230000
5200223304301422
65355343010120
7614403336264
oct133700205400
934741501753
1012331322112
1152587898aa
122481899940
1312169ab305
1484da260a4
154c28ba10c
hex2df010b00

12331322112 has 144 divisors (see below), whose sum is σ = 33808757472. Its totient is φ = 3987210240.

The previous prime is 12331322089. The next prime is 12331322117. The reversal of 12331322112 is 21122313321.

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

It is not an unprimeable number, because it can be changed into a prime (12331322117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18214318 + ... + 18214994.

It is an arithmetic number, because the mean of its divisors is an integer number (234783038).

Almost surely, 212331322112 is an apocalyptic number.

12331322112 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 12331322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904378736).

12331322112 is an abundant number, since it is smaller than the sum of its proper divisors (21477435360).

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

12331322112 is an equidigital number, since it uses as much as digits as its factorization.

12331322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).

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

Adding to 12331322112 its reverse (21122313321), we get a palindrome (33453635433).

The spelling of 12331322112 in words is "twelve billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 641 677 768 888 1184 1282 1354 1776 1923 2031 2368 2564 2708 3552 3846 4062 4736 5128 5416 7104 7692 8124 9472 10256 10832 14208 15384 16248 20512 21664 23717 25049 28416 30768 32496 41024 43328 47434 50098 61536 64992 71151 75147 82048 86656 94868 100196 123072 129984 142302 150294 164096 173312 189736 200392 246144 259968 284604 300588 379472 400784 433957 492288 519936 569208 601176 758944 801568 867914 1138416 1202352 1301871 1517888 1603136 1735828 2276832 2404704 2603742 3035776 3206272 3471656 4553664 4809408 5207484 6071552 6412544 6943312 9107328 9618816 10414968 13886624 16056409 18214656 19237632 20829936 27773248 32112818 41659872 48169227 55546496 64225636 83319744 96338454 111092992 128451272 166639488 192676908 256902544 333278976 385353816 513805088 770707632 1027610176 1541415264 2055220352 3082830528 4110440704 6165661056 12331322112