Search a number
-
+
12002000121120 = 253525004166919
BaseRepresentation
bin1010111010100110111011…
…1101000010110100100000
31120111101021000122210011110
42232221232331002310200
53033120044012333440
641305350455343320
72346054515530302
oct256515675026440
946441230583143
1012002000121120
1139080241a4469
12141a099681b40
13690a25baa0c9
142d6c854a9972
1515c2ed809080
hexaea6ef42d20

12002000121120 has 48 divisors (see below), whose sum is σ = 37806300383040. Its totient is φ = 3200533365504.

The previous prime is 12002000121113. The next prime is 12002000121179. The reversal of 12002000121120 is 2112100020021.

12002000121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12002000121096 and 12002000121105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12502082980 + ... + 12502083939.

It is an arithmetic number, because the mean of its divisors is an integer number (787631257980).

Almost surely, 212002000121120 is an apocalyptic number.

12002000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002000121120 is an abundant number, since it is smaller than the sum of its proper divisors (25804300261920).

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

12002000121120 is a wasteful number, since it uses less digits than its factorization.

12002000121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25004166937 (or 25004166929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002000121120 its reverse (2112100020021), we get a palindrome (14114100141141).

The spelling of 12002000121120 in words is "twelve trillion, two billion, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25004166919 50008333838 75012500757 100016667676 125020834595 150025001514 200033335352 250041669190 300050003028 375062503785 400066670704 500083338380 600100006056 750125007570 800133341408 1000166676760 1200200012112 1500250015140 2000333353520 2400400024224 3000500030280 4000666707040 6001000060560 12002000121120