Search a number
-
+
12000230003120 = 245500929946671
BaseRepresentation
bin1010111010100000010101…
…1100100101000110110000
31120111012200122212110202112
42232220011130211012300
53033102432340044440
641304455103504452
72345662613010362
oct256500534450660
946435618773675
1012000230003120
1139072a5a9a627
1214198848b8128
136908032503c8
142d6b58370d32
1515c248204965
hexaea057251b0

12000230003120 has 40 divisors (see below), whose sum is σ = 27906105769920. Its totient is φ = 4799133547520.

The previous prime is 12000230003117. The next prime is 12000230003123. The reversal of 12000230003120 is 2130003200021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000230003117) and next prime (12000230003123).

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

It is a junction number, because it is equal to n+sod(n) for n = 12000230003095 and 12000230003104.

It is not an unprimeable number, because it can be changed into a prime (12000230003123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14572616 + ... + 15374055.

It is an arithmetic number, because the mean of its divisors is an integer number (697652644248).

Almost surely, 212000230003120 is an apocalyptic number.

12000230003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000230003120 is an abundant number, since it is smaller than the sum of its proper divisors (15905875766800).

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

12000230003120 is a wasteful number, since it uses less digits than its factorization.

12000230003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29951693 (or 29951687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12000230003120 its reverse (2130003200021), we get a palindrome (14130233203141).

The spelling of 12000230003120 in words is "twelve trillion, two hundred thirty million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5009 10018 20036 25045 40072 50090 80144 100180 200360 400720 29946671 59893342 119786684 149733355 239573368 299466710 479146736 598933420 1197866840 2395733680 150002875039 300005750078 600011500156 750014375195 1200023000312 1500028750390 2400046000624 3000057500780 6000115001560 12000230003120