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12330345130000 = 24541233034513
BaseRepresentation
bin1011001101101110000111…
…0101110110100000010000
31121122202202221201110021021
42303123201311312200100
53104010021323130000
642120252104405224
72411560306205542
oct263334165664020
947582687643237
1012330345130000
113a242a7413437
121471853776814
136b5992252c01
14308b12d29692
15165b1967e11a
hexb36e1d76810

12330345130000 has 50 divisors (see below), whose sum is σ = 29852998618454. Its totient is φ = 4932138048000.

The previous prime is 12330345129959. The next prime is 12330345130009. The reversal of 12330345130000 is 3154303321.

It can be written as a sum of positive squares in 5 ways, for example, as 2900999245824 + 9429345884176 = 1703232^2 + 3070724^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×123303451300002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12330345130009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 616507257 + ... + 616527256.

Almost surely, 212330345130000 is an apocalyptic number.

12330345130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330345130000 is an abundant number, since it is smaller than the sum of its proper divisors (17522653488454).

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

12330345130000 is an equidigital number, since it uses as much as digits as its factorization.

12330345130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233034541 (or 1233034520 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 12330345130000 its reverse (3154303321), we get a palindrome (12333499433321).

The spelling of 12330345130000 in words is "twelve trillion, three hundred thirty billion, three hundred forty-five million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1233034513 2466069026 4932138052 6165172565 9864276104 12330345130 19728552208 24660690260 30825862825 49321380520 61651725650 98642761040 123303451300 154129314125 246606902600 308258628250 493213805200 616517256500 770646570625 1233034513000 1541293141250 2466069026000 3082586282500 6165172565000 12330345130000