Search a number
-
+
12332133210000 = 24354411071107
BaseRepresentation
bin1011001101110100110001…
…1010110101011110010000
31121122221101120022022220110
42303131030122311132100
53104022202100210000
642121145341241320
72411652520506012
oct263351432653620
947587346268813
1012332133210000
113a250347763aa
121472072563240
136b5bb882b506
14308c425bc1b2
15165bc1630850
hexb374c6b5790

12332133210000 has 100 divisors (see below), whose sum is σ = 39809770383152. Its totient is φ = 3288568848000.

The previous prime is 12332133209993. The next prime is 12332133210029. The reversal of 12332133210000 is 1233123321.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205505554 + ... + 205565553.

Almost surely, 212332133210000 is an apocalyptic number.

12332133210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332133210000 is an abundant number, since it is smaller than the sum of its proper divisors (27477637173152).

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

12332133210000 is an equidigital number, since it uses as much as digits as its factorization.

12332133210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411071138 (or 411071117 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12332133210000 its reverse (1233123321), we get a palindrome (12333366333321).

The spelling of 12332133210000 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-three million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 411071107 822142214 1233213321 1644284428 2055355535 2466426642 3288568856 4110711070 4932853284 6166066605 6577137712 8221422140 9865706568 10276777675 12332133210 16442844280 19731413136 20553555350 24664266420 30830333025 32885688560 41107110700 49328532840 51383888375 61660666050 82214221400 98657065680 102767776750 123321332100 154151665125 164428442800 205535553500 246642664200 256919441875 308303330250 411071107000 493285328400 513838883750 616606660500 770758325625 822142214000 1027677767500 1233213321000 1541516651250 2055355535000 2466426642000 3083033302500 4110711070000 6166066605000 12332133210000