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121012321200 = 24352953105817
BaseRepresentation
bin111000010110011100…
…1010111101110110000
3102120100120000212010020
41300230321113232300
53440313123234300
6131331534003440
711512540521111
oct1605471275660
9376316025106
10121012321200
1147359334011
121b552946580
13b546b497b4
145bdd980208
153233cbc8a0
hex1c2ce57bb0

121012321200 has 120 divisors (see below), whose sum is σ = 388053229968. Its totient is φ = 32235786240.

The previous prime is 121012321181. The next prime is 121012321207. The reversal of 121012321200 is 2123210121.

It is a tau number, because it is divible by the number of its divisors (120).

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 121012321200.

It is not an unprimeable number, because it can be changed into a prime (121012321207) 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, 1090692 + ... + 1196508.

Almost surely, 2121012321200 is an apocalyptic number.

121012321200 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 121012321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194026614984).

121012321200 is an abundant number, since it is smaller than the sum of its proper divisors (267040908768).

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

121012321200 is a wasteful number, since it uses less digits than its factorization.

121012321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106791 (or 106780 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121012321200 its reverse (2123210121), we get a palindrome (123135531321).

The spelling of 121012321200 in words is "one hundred twenty-one billion, twelve million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 953 1200 1906 2859 3812 4765 5718 7624 9530 11436 14295 15248 19060 22872 23825 28590 38120 45744 47650 57180 71475 76240 95300 105817 114360 142950 190600 211634 228720 285900 317451 381200 423268 529085 571800 634902 846536 1058170 1143600 1269804 1587255 1693072 2116340 2539608 2645425 3174510 4232680 5079216 5290850 6349020 7936275 8465360 10581700 12698040 15872550 21163400 25396080 31745100 42326800 63490200 100843601 126980400 201687202 302530803 403374404 504218005 605061606 806748808 1008436010 1210123212 1512654015 1613497616 2016872020 2420246424 2521090025 3025308030 4033744040 4840492848 5042180050 6050616060 7563270075 8067488080 10084360100 12101232120 15126540150 20168720200 24202464240 30253080300 40337440400 60506160600 121012321200