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12102212110200 = 2335251241393637
BaseRepresentation
bin1011000000011100010000…
…0011011100011101111000
31120211221220222012021202120
42300013010003130131320
53041240312300011300
641423402434201240
72356233045425622
oct260070403343570
946757828167676
1012102212110200
113946579261053
1214355a6423220
1369a3065b0b74
142dba7074dc12
1515ec1646a3a0
hexb01c40dc778

12102212110200 has 96 divisors (see below), whose sum is σ = 37517685016560. Its totient is φ = 3227185382400.

The previous prime is 12102212110189. The next prime is 12102212110229. The reversal of 12102212110200 is 201121220121.

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 12102212110200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30547782 + ... + 30941418.

Almost surely, 212102212110200 is an apocalyptic number.

12102212110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102212110200 is an abundant number, since it is smaller than the sum of its proper divisors (25415472906360).

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

12102212110200 is a wasteful number, since it uses less digits than its factorization.

12102212110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444897 (or 444888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102212110200 its reverse (201121220121), we get a palindrome (12303333330321).

The spelling of 12102212110200 in words is "twelve trillion, one hundred two billion, two hundred twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 51241 102482 153723 204964 256205 307446 393637 409928 512410 614892 768615 787274 1024820 1180911 1229784 1281025 1537230 1574548 1968185 2049640 2361822 2562050 3074460 3149096 3843075 3936370 4723644 5124100 5904555 6148920 7686150 7872740 9447288 9840925 10248200 11809110 15372300 15745480 19681850 23618220 29522775 30744600 39363700 47236440 59045550 78727400 118091100 236182200 20170353517 40340707034 60511060551 80681414068 100851767585 121022121102 161362828136 201703535170 242044242204 302555302755 403407070340 484088484408 504258837925 605110605510 806814140680 1008517675850 1210221211020 1512776513775 2017035351700 2420442422040 3025553027550 4034070703400 6051106055100 12102212110200