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12111204300 = 223521323135019
BaseRepresentation
bin10110100011110001…
…00100111111001100
31011021001100220222020
423101320210333030
5144300432014200
65321441050140
7606061352346
oct132170447714
934231326866
1012111204300
115155506058
122420026950
1311b01cc0a0
1482c6c8296
154ad3d9ea0
hex2d1e24fcc

12111204300 has 144 divisors (see below), whose sum is σ = 39378312960. Its totient is φ = 2851580160.

The previous prime is 12111204293. The next prime is 12111204319. The reversal of 12111204300 is 340211121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111204300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22191 + ... + 157209.

Almost surely, 212111204300 is an apocalyptic number.

12111204300 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 12111204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689156480).

12111204300 is an abundant number, since it is smaller than the sum of its proper divisors (27267108660).

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

12111204300 is a wasteful number, since it uses less digits than its factorization.

12111204300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135072 (or 135065 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12111204300 its reverse (340211121), we get a palindrome (12451415421).

The spelling of 12111204300 in words is "twelve billion, one hundred eleven million, two hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 29900 44850 89700 135019 270038 405057 540076 675095 810114 1350190 1620228 1755247 2025285 2700380 3105437 3375475 3510494 4050570 5265741 6210874 6750950 7020988 8101140 8776235 9316311 10126425 10531482 12421748 13501900 15527185 17552470 18632622 20252850 21062964 26328705 31054370 35104940 37265244 40370681 40505700 43881175 46581555 52657410 62108740 77635925 80741362 87762350 93163110 105314820 121112043 131643525 155271850 161482724 175524700 186326220 201853405 232907775 242224086 263287050 310543700 403706810 465815550 484448172 526574100 605560215 807413620 931631100 1009267025 1211120430 2018534050 2422240860 3027801075 4037068100 6055602150 12111204300