Search a number
-
+
121312332000 = 2532533369787
BaseRepresentation
bin111000011111011000…
…1110100100011100000
3102121010110112222120100
41300332301310203200
53441421424111000
6131421412142400
711523142544136
oct1607661644340
9377113488510
10121312332000
11474a2715622
121b617307a00
13b59404c492
145c2b757756
1532502cea00
hex1c3ec748e0

121312332000 has 144 divisors (see below), whose sum is σ = 430537594032. Its totient is φ = 32349945600.

The previous prime is 121312331971. The next prime is 121312332013. The reversal of 121312332000 is 233213121.

121312332000 is a `hidden beast` number, since 1 + 21 + 312 + 332 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648894 + ... + 1720893.

It is an arithmetic number, because the mean of its divisors is an integer number (2989844403).

Almost surely, 2121312332000 is an apocalyptic number.

121312332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312332000 is an abundant number, since it is smaller than the sum of its proper divisors (309225262032).

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

121312332000 is a wasteful number, since it uses less digits than its factorization.

121312332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369818 (or 3369797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121312332000 its reverse (233213121), we get a palindrome (121545545121).

The spelling of 121312332000 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 3369787 6739574 10109361 13479148 16848935 20218722 26958296 30328083 33697870 40437444 50546805 53916592 60656166 67395740 80874888 84244675 101093610 107833184 121312332 134791480 151640415 161749776 168489350 202187220 242624664 252734025 269582960 303280830 323499552 336978700 404374440 421223375 485249328 505468050 539165920 606561660 673957400 758202075 808748880 842446750 970498656 1010936100 1213123320 1263670125 1347914800 1516404150 1617497760 1684893500 2021872200 2426246640 2527340250 2695829600 3032808300 3369787000 3791010375 4043744400 4852493280 5054680500 6065616600 6739574000 7582020750 8087488800 10109361000 12131233200 13479148000 15164041500 20218722000 24262466400 30328083000 40437444000 60656166000 121312332000