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12114243312 = 2432961314197
BaseRepresentation
bin10110100100001000…
…01010111011110000
31011021021002022201020
423102010022323300
5144302221241222
65322030135440
7606126240423
oct132204127360
934237068636
1012114243312
1151571a1336
122421051580
1311b0a24412
1482cc799ba
154ad7da65c
hex2d210aef0

12114243312 has 80 divisors (see below), whose sum is σ = 32429367840. Its totient is φ = 3892202496.

The previous prime is 12114243311. The next prime is 12114243319. The reversal of 12114243312 is 21334241121.

It is a super-3 number, since 3×121142433123 (a number of 31 digits) contains 333 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114243311) 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, 846198 + ... + 860394.

It is an arithmetic number, because the mean of its divisors is an integer number (405367098).

Almost surely, 212114243312 is an apocalyptic number.

12114243312 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 12114243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214683920).

12114243312 is an abundant number, since it is smaller than the sum of its proper divisors (20315124528).

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

12114243312 is a wasteful number, since it uses less digits than its factorization.

12114243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14850 (or 14844 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12114243312 its reverse (21334241121), we get a palindrome (33448484433).

The spelling of 12114243312 in words is "twelve billion, one hundred fourteen million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 613 696 1226 1392 1839 2452 3678 4904 7356 9808 14197 14712 17777 28394 29424 35554 42591 53331 56788 71108 85182 106662 113576 142216 170364 213324 227152 284432 340728 411713 426648 681456 823426 853296 1235139 1646852 2470278 3293704 4940556 6587408 8702761 9881112 17405522 19762224 26108283 34811044 52216566 69622088 104433132 139244176 208866264 252380069 417732528 504760138 757140207 1009520276 1514280414 2019040552 3028560828 4038081104 6057121656 12114243312