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12330022220320 = 255737347896163
BaseRepresentation
bin1011001101101100111010…
…0110000011001000100000
31121122201221110002221110111
42303123032212003020200
53104003341142022240
642120200051341104
72411546305421110
oct263331646031040
947581843087414
1012330022220320
113a24151111632
1214717835b1794
136b59403934ac
14308ac20b1040
15165aeb1471ea
hexb36ce983220

12330022220320 has 192 divisors, whose sum is σ = 33392699746560. Its totient is φ = 4214538252288.

The previous prime is 12330022220287. The next prime is 12330022220381. The reversal of 12330022220320 is 2302222003321.

It is a junction number, because it is equal to n+sod(n) for n = 12330022220291 and 12330022220300.

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 31 ways as a sum of consecutive naturals, for example, 2000649559 + ... + 2000655721.

It is an arithmetic number, because the mean of its divisors is an integer number (173920311180).

Almost surely, 212330022220320 is an apocalyptic number.

12330022220320 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 12330022220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696349873280).

12330022220320 is an abundant number, since it is smaller than the sum of its proper divisors (21062677526240).

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

12330022220320 is a wasteful number, since it uses less digits than its factorization.

12330022220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11347 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12330022220320 its reverse (2302222003321), we get a palindrome (14632244223641).

The spelling of 12330022220320 in words is "twelve trillion, three hundred thirty billion, twenty-two million, two hundred twenty thousand, three hundred twenty".