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12310330121320 = 235711171259186743
BaseRepresentation
bin1011001100100011100011…
…0110101001110001101000
31121120212010001221122222111
42303020320312221301220
53103143024002340240
642103142041332104
72410251312351550
oct263107066516150
947525101848874
1012310330121320
113a16866473150
1214699a8797034
136b3b227219ca
14307b74a58160
1516534744b1ea
hexb3238da9c68

12310330121320 has 256 divisors, whose sum is σ = 36593457868800. Its totient is φ = 3608393256960.

The previous prime is 12310330121317. The next prime is 12310330121321. The reversal of 12310330121320 is 2312103301321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12310330121291 and 12310330121300.

It is not an unprimeable number, because it can be changed into a prime (12310330121321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65827869 + ... + 66014611.

It is an arithmetic number, because the mean of its divisors is an integer number (142943194800).

Almost surely, 212310330121320 is an apocalyptic number.

12310330121320 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 12310330121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296728934400).

12310330121320 is an abundant number, since it is smaller than the sum of its proper divisors (24283127747480).

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

12310330121320 is a wasteful number, since it uses less digits than its factorization.

12310330121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188048 (or 188044 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12310330121320 its reverse (2312103301321), we get a palindrome (14622433422641).

The spelling of 12310330121320 in words is "twelve trillion, three hundred ten billion, three hundred thirty million, one hundred twenty-one thousand, three hundred twenty".