Search a number
-
+
12111200200 = 23521123323627
BaseRepresentation
bin10110100011110001…
…00011111111001000
31011021001100201100101
423101320203333020
5144300431401300
65321441015144
7606061334401
oct132170437710
934231321311
1012111200200
115155502a70
1224200244b4
1311b01ca268
1482c6c69a8
154ad3d8b6a
hex2d1e23fc8

12111200200 has 96 divisors (see below), whose sum is σ = 30851552160. Its totient is φ = 4384985600.

The previous prime is 12111200159. The next prime is 12111200201. The reversal of 12111200200 is 200211121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12111200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500787 + ... + 524413.

It is an arithmetic number, because the mean of its divisors is an integer number (321370335).

Almost surely, 212111200200 is an apocalyptic number.

12111200200 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 12111200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425776080).

12111200200 is an abundant number, since it is smaller than the sum of its proper divisors (18740351960).

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

12111200200 is a wasteful number, since it uses less digits than its factorization.

12111200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23887 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12111200200 its reverse (200211121), we get a palindrome (12311411321).

The spelling of 12111200200 in words is "twelve billion, one hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 233 275 440 466 550 932 1100 1165 1864 2200 2330 2563 4660 5126 5825 9320 10252 11650 12815 20504 23300 23627 25630 46600 47254 51260 64075 94508 102520 118135 128150 189016 236270 256300 259897 472540 512600 519794 590675 945080 1039588 1181350 1299485 2079176 2362700 2598970 4725400 5197940 5505091 6497425 10395880 11010182 12994850 22020364 25989700 27525455 44040728 51979400 55050910 60556001 110101820 121112002 137627275 220203640 242224004 275254550 302780005 484448008 550509100 605560010 1101018200 1211120020 1513900025 2422240040 3027800050 6055600100 12111200200