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12330230212332 = 2232418353814507
BaseRepresentation
bin1011001101101101101011…
…1111011110011011101100
31121122202110221111000212100
42303123122333132123230
53104004302413243312
642120232441335100
72411554412342604
oct263333277363354
947582427430770
1012330230212332
113a2424856305a
121471821197490
136b59744b83a6
14308b01973c04
15165b0e52e5dc
hexb36dafde6ec

12330230212332 has 36 divisors (see below), whose sum is σ = 31928279049576. Its totient is φ = 4009830962880.

The previous prime is 12330230212271. The next prime is 12330230212357. The reversal of 12330230212332 is 23321203203321.

12330230212332 is a `hidden beast` number, since 1 + 2 + 3 + 302 + 3 + 0 + 21 + 2 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12330230212296 and 12330230212305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4176905778 + ... + 4176908729.

It is an arithmetic number, because the mean of its divisors is an integer number (886896640266).

Almost surely, 212330230212332 is an apocalyptic number.

12330230212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12330230212332 is an abundant number, since it is smaller than the sum of its proper divisors (19598048837244).

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

12330230212332 is a wasteful number, since it uses less digits than its factorization.

12330230212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353814558 (or 8353814553 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12330230212332 its reverse (23321203203321), we get a palindrome (35651433415653).

The spelling of 12330230212332 in words is "twelve trillion, three hundred thirty billion, two hundred thirty million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8353814507 16707629014 25061443521 33415258028 50122887042 75184330563 100245774084 150368661126 300737322252 342506394787 685012789574 1027519184361 1370025579148 2055038368722 3082557553083 4110076737444 6165115106166 12330230212332