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12130302330000 = 243254521258697
BaseRepresentation
bin1011000010000100111001…
…0111001000010010010000
31120221122102121220022012200
42300201032113020102100
53042220324344030000
641444330045123200
72361246125362311
oct260411627102220
946848377808180
1012130302330000
113957483479a38
12143ab25859500
1369cb620c98ba
142dd1772a6608
1516080c5a3500
hexb084e5c8490

12130302330000 has 300 divisors, whose sum is σ = 42503006768508. Its totient is φ = 3228526080000.

The previous prime is 12130302329993. The next prime is 12130302330001. The reversal of 12130302330000 is 3320303121.

12130302330000 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 302 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 11922628903056 + 207673426944 = 3452916^2 + 455712^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12130302330001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46760652 + ... + 47019348.

Almost surely, 212130302330000 is an apocalyptic number.

12130302330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130302330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251503384254).

12130302330000 is an abundant number, since it is smaller than the sum of its proper divisors (30372704438508).

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

12130302330000 is a wasteful number, since it uses less digits than its factorization.

12130302330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259252 (or 259228 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12130302330000 its reverse (3320303121), we get a palindrome (12133622633121).

The spelling of 12130302330000 in words is "twelve trillion, one hundred thirty billion, three hundred two million, three hundred thirty thousand".