Search a number
-
+
12012320002000 = 24536006160001
BaseRepresentation
bin1010111011001101011000…
…0100010000111111010000
31120112100220020100001100211
42232303112010100333100
53033302212410031000
641314214510253504
72346601326213463
oct256632604207720
946470806301324
1012012320002000
11391143a53173a
1214200997b7294
136919abc364b6
142d7583cd92da
1515c7048017ba
hexaecd6110fd0

12012320002000 has 40 divisors (see below), whose sum is σ = 29045789769672. Its totient is φ = 4804928000000.

The previous prime is 12012320001989. The next prime is 12012320002009. The reversal of 12012320002000 is 20002321021.

It can be written as a sum of positive squares in 4 ways, for example, as 561432506944 + 11450887495056 = 749288^2 + 3383916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012320002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3003078001 + ... + 3003082000.

Almost surely, 212012320002000 is an apocalyptic number.

12012320002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012320002000 is an abundant number, since it is smaller than the sum of its proper divisors (17033469767672).

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

12012320002000 is an equidigital number, since it uses as much as digits as its factorization.

12012320002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006160024 (or 6006160008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12012320002000 its reverse (20002321021), we get a palindrome (12032322323021).

The spelling of 12012320002000 in words is "twelve trillion, twelve billion, three hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6006160001 12012320002 24024640004 30030800005 48049280008 60061600010 96098560016 120123200020 150154000025 240246400040 300308000050 480492800080 600616000100 750770000125 1201232000200 1501540000250 2402464000400 3003080000500 6006160001000 12012320002000