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12112303000 = 235375693041
BaseRepresentation
bin10110100011111001…
…10001001110011000
31011021010102202002211
423101330301032120
5144301222144000
65321520404504
7606103606510
oct132174611630
934233382084
1012112303000
115156096576
122420476734
1311b04c51c5
1482c8d2840
154ad5557ba
hex2d1f31398

12112303000 has 128 divisors (see below), whose sum is σ = 32459356800. Its totient is φ = 4144128000.

The previous prime is 12112302997. The next prime is 12112303013. The reversal of 12112303000 is 30321121.

12112303000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3981480 + ... + 3984520.

It is an arithmetic number, because the mean of its divisors is an integer number (253588725).

Almost surely, 212112303000 is an apocalyptic number.

12112303000 is a gapful number since it is divisible by the number (10) 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 12112303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229678400).

12112303000 is an abundant number, since it is smaller than the sum of its proper divisors (20347053800).

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

12112303000 is a wasteful number, since it uses less digits than its factorization.

12112303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12112303000 its reverse (30321121), we get a palindrome (12142624121).

The spelling of 12112303000 in words is "twelve billion, one hundred twelve million, three hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 569 700 875 1000 1138 1400 1750 2276 2845 3041 3500 3983 4552 5690 6082 7000 7966 11380 12164 14225 15205 15932 19915 21287 22760 24328 28450 30410 31864 39830 42574 56900 60820 71125 76025 79660 85148 99575 106435 113800 121640 142250 152050 159320 170296 199150 212870 284500 304100 380125 398300 425740 497875 532175 569000 608200 760250 796600 851480 995750 1064350 1520500 1730329 1991500 2128700 2660875 3041000 3460658 3983000 4257400 5321750 6921316 8651645 10643500 12112303 13842632 17303290 21287000 24224606 34606580 43258225 48449212 60561515 69213160 86516450 96898424 121123030 173032900 216291125 242246060 302807575 346065800 432582250 484492120 605615150 865164500 1211230300 1514037875 1730329000 2422460600 3028075750 6056151500 12112303000