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12111210200 = 2352315336857
BaseRepresentation
bin10110100011110001…
…00110011011011000
31011021001101020001202
423101320212123120
5144300432211300
65321441133332
7606061405505
oct132170463330
934231336052
1012111210200
11515550a531
12242002a248
1311b020198b
1482c6ca4ac
154ad3dbad5
hex2d1e266d8

12111210200 has 96 divisors (see below), whose sum is σ = 29616140160. Its totient is φ = 4599628800.

The previous prime is 12111210149. The next prime is 12111210217. The reversal of 12111210200 is 201211121.

12111210200 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 23 ways as a sum of consecutive naturals, for example, 310172 + ... + 347028.

It is an arithmetic number, because the mean of its divisors is an integer number (308501460).

Almost surely, 212111210200 is an apocalyptic number.

12111210200 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 12111210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14808070080).

12111210200 is an abundant number, since it is smaller than the sum of its proper divisors (17504929960).

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

12111210200 is a wasteful number, since it uses less digits than its factorization.

12111210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36957 (or 36948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12111210200 its reverse (201211121), we get a palindrome (12312421321).

The spelling of 12111210200 in words is "twelve billion, one hundred eleven million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 53 62 100 106 124 155 200 212 248 265 310 424 530 620 775 1060 1240 1325 1550 1643 2120 2650 3100 3286 5300 6200 6572 8215 10600 13144 16430 32860 36857 41075 65720 73714 82150 147428 164300 184285 294856 328600 368570 737140 921425 1142567 1474280 1842850 1953421 2285134 3685700 3906842 4570268 5712835 7371400 7813684 9140536 9767105 11425670 15627368 19534210 22851340 28564175 39068420 45702680 48835525 57128350 60556051 78136840 97671050 114256700 121112102 195342100 228513400 242224204 302780255 390684200 484448408 605560510 1211121020 1513901275 2422242040 3027802550 6055605100 12111210200