Search a number
-
+
12100101200 = 2452117013923
BaseRepresentation
bin10110100010011100…
…01110010001010000
31011020021110211101022
423101032032101100
5144240111214300
65320403055012
7605565106655
oct132116162120
934207424338
1012100101200
11514a212140
122418371468
1311aab123c5
1482b037c2c
154ac445285
hex2d138e450

12100101200 has 120 divisors (see below), whose sum is σ = 31766600736. Its totient is φ = 4392640000.

The previous prime is 12100101197. The next prime is 12100101253. The reversal of 12100101200 is 210100121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 3082439 + ... + 3086361.

Almost surely, 212100101200 is an apocalyptic number.

12100101200 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 12100101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883300368).

12100101200 is an abundant number, since it is smaller than the sum of its proper divisors (19666499536).

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

12100101200 is a wasteful number, since it uses less digits than its factorization.

12100101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100101200 its reverse (210100121), we get a palindrome (12310201321).

The spelling of 12100101200 in words is "twelve billion, one hundred million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 701 880 1100 1402 2200 2804 3505 3923 4400 5608 7010 7711 7846 11216 14020 15422 15692 17525 19615 28040 30844 31384 35050 38555 39230 43153 56080 61688 62768 70100 77110 78460 86306 98075 123376 140200 154220 156920 172612 192775 196150 215765 280400 308440 313840 345224 385550 392300 431530 616880 690448 771100 784600 863060 1078825 1542200 1569200 1726120 2157650 2750023 3084400 3452240 4315300 5500046 8630600 11000092 13750115 17261200 22000184 27500230 30250253 44000368 55000460 60500506 68750575 110000920 121001012 137501150 151251265 220001840 242002024 275002300 302502530 484004048 550004600 605005060 756256325 1100009200 1210010120 1512512650 2420020240 3025025300 6050050600 12100101200