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12114302000 = 245317220959
BaseRepresentation
bin10110100100001000…
…11001010000110000
31011021021012022012212
423102010121100300
5144302230131000
65322031311252
7606126603503
oct132204312060
934237168185
1012114302000
115157231439
12242107b528
1311b0a45048
1482cc9313a
154ad7ecc35
hex2d2119430

12114302000 has 120 divisors (see below), whose sum is σ = 31118305920. Its totient is φ = 4560460800.

The previous prime is 12114301981. The next prime is 12114302023. The reversal of 12114302000 is 20341121.

It is a super-3 number, since 3×121143020003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567521 + ... + 588479.

It is an arithmetic number, because the mean of its divisors is an integer number (259319216).

Almost surely, 212114302000 is an apocalyptic number.

12114302000 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 12114302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559152960).

12114302000 is an abundant number, since it is smaller than the sum of its proper divisors (19004003920).

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

12114302000 is a wasteful number, since it uses less digits than its factorization.

12114302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016 (or 20983 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12114302000 its reverse (20341121), we get a palindrome (12134643121).

The spelling of 12114302000 in words is "twelve billion, one hundred fourteen million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 680 850 1000 1156 1360 1445 1700 2000 2125 2312 2890 3400 4250 4624 5780 6800 7225 8500 11560 14450 17000 20959 23120 28900 34000 36125 41918 57800 72250 83836 104795 115600 144500 167672 209590 289000 335344 356303 419180 523975 578000 712606 838360 1047950 1425212 1676720 1781515 2095900 2619875 2850424 3563030 4191800 5239750 5700848 6057151 7126060 8383600 8907575 10479500 12114302 14252120 17815150 20959000 24228604 28504240 30285755 35630300 41918000 44537875 48457208 60571510 71260600 89075750 96914416 121143020 142521200 151428775 178151500 242286040 302857550 356303000 484572080 605715100 712606000 757143875 1211430200 1514287750 2422860400 3028575500 6057151000 12114302000