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12330245162112 = 2732361113337601
BaseRepresentation
bin1011001101101101101111…
…1000100000010010000000
31121122202111222121120002220
42303123123320200102000
53104004320230141422
642120234134011040
72411554653406143
oct263333370402200
947582458546086
1012330245162112
113a24255a44049
1214718261a6a80
136b5977620c07
14308b0394605a
15165b109d3e5c
hexb36dbe20480

12330245162112 has 512 divisors, whose sum is σ = 35206361648640. Its totient is φ = 3814981632000.

The previous prime is 12330245162107. The next prime is 12330245162197. The reversal of 12330245162112 is 21126154203321.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20516214612 + ... + 20516215212.

It is an arithmetic number, because the mean of its divisors is an integer number (68762425095).

Almost surely, 212330245162112 is an apocalyptic number.

12330245162112 is a gapful number since it is divisible by the number (12) 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 12330245162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603180824320).

12330245162112 is an abundant number, since it is smaller than the sum of its proper divisors (22876116486528).

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

12330245162112 is a wasteful number, since it uses less digits than its factorization.

12330245162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 12330245162112 its reverse (21126154203321), we get a palindrome (33456399365433).

The spelling of 12330245162112 in words is "twelve trillion, three hundred thirty billion, two hundred forty-five million, one hundred sixty-two thousand, one hundred twelve".