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12130101210200 = 2352618111225981
BaseRepresentation
bin1011000010000100001001…
…0111111010110001011000
31120221121220121110100201012
42300201002113322301120
53042214421402211300
641444254102313052
72361241134032231
oct260410227726130
946847817410635
1012130101210200
11395738a9a1726
12143aa8a428788
1369cb2c53c9bc
142dd1586b2088
151607e9ac7435
hexb08425fac58

12130101210200 has 96 divisors (see below), whose sum is σ = 28700189580720. Its totient is φ = 4766610240000.

The previous prime is 12130101210133. The next prime is 12130101210203. The reversal of 12130101210200 is 201210103121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130101210203) by changing a digit.

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, 9281210 + ... + 10507190.

Almost surely, 212130101210200 is an apocalyptic number.

12130101210200 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 12130101210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350094790360).

12130101210200 is an abundant number, since it is smaller than the sum of its proper divisors (16570088370520).

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

12130101210200 is a wasteful number, since it uses less digits than its factorization.

12130101210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226869 (or 1226860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12130101210200 its reverse (201210103121), we get a palindrome (12331311313321).

The spelling of 12130101210200 in words is "twelve trillion, one hundred thirty billion, one hundred one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 811 1220 1525 1622 2440 3050 3244 4055 6100 6488 8110 12200 16220 20275 32440 40550 49471 81100 98942 162200 197884 247355 395768 494710 989420 1225981 1236775 1978840 2451962 2473550 4903924 4947100 6129905 9807848 9894200 12259810 24519620 30649525 49039240 61299050 74784841 122598100 149569682 245196200 299139364 373924205 598278728 747848410 994270591 1495696820 1869621025 1988541182 2991393640 3739242050 3977082364 4971352955 7478484100 7954164728 9942705910 14956968200 19885411820 24856764775 39770823640 49713529550 60650506051 99427059100 121301012102 198854118200 242602024204 303252530255 485204048408 606505060510 1213010121020 1516262651275 2426020242040 3032525302550 6065050605100 12130101210200