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121424322000 = 2435334758321
BaseRepresentation
bin111000100010101110…
…1000001110111010000
3102121102021021122222010
41301011131001313100
53442134111301000
6131440452342520
711526002464452
oct1610535016720
9377367248863
10121424322000
114754a956343
121b648914a40
13b5b1300557
145c3c58a2d2
15325a051d50
hex1c45741dd0

121424322000 has 160 divisors (see below), whose sum is σ = 392606907264. Its totient is φ = 32285952000.

The previous prime is 121424321969. The next prime is 121424322053. The reversal of 121424322000 is 223424121.

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 31 ways as a sum of consecutive naturals, for example, 2052840 + ... + 2111160.

Almost surely, 2121424322000 is an apocalyptic number.

121424322000 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 121424322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196303453632).

121424322000 is an abundant number, since it is smaller than the sum of its proper divisors (271182585264).

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

121424322000 is a wasteful number, since it uses less digits than its factorization.

121424322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58694 (or 58678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 121424322000 its reverse (223424121), we get a palindrome (121647746121).

The spelling of 121424322000 in words is "one hundred twenty-one billion, four hundred twenty-four million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 347 375 400 500 600 694 750 1000 1041 1200 1388 1500 1735 2000 2082 2776 3000 3470 4164 5205 5552 6000 6940 8328 8675 10410 13880 16656 17350 20820 26025 27760 34700 41640 43375 52050 58321 69400 83280 86750 104100 116642 130125 138800 173500 174963 208200 233284 260250 291605 347000 349926 416400 466568 520500 583210 694000 699852 874815 933136 1041000 1166420 1399704 1458025 1749630 2082000 2332840 2799408 2916050 3499260 4374075 4665680 5832100 6998520 7290125 8748150 11664200 13997040 14580250 17496300 20237387 21870375 23328400 29160500 34992600 40474774 43740750 58321000 60712161 69985200 80949548 87481500 101186935 116642000 121424322 161899096 174963000 202373870 242848644 303560805 323798192 349926000 404747740 485697288 505934675 607121610 809495480 971394576 1011869350 1214243220 1517804025 1618990960 2023738700 2428486440 2529673375 3035608050 4047477400 4856972880 5059346750 6071216100 7589020125 8094954800 10118693500 12142432200 15178040250 20237387000 24284864400 30356080500 40474774000 60712161000 121424322000