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12300233122120 = 2352313369818611
BaseRepresentation
bin1011001011111101111100…
…0001101010000101001000
31121112220001101122221222011
42302333133001222011020
53103011334134401440
642054352111505304
72406443146313236
oct262773701520510
947486041587864
1012300233122120
113a12554a27209
121467a4b228234
136b2ba3901878
14307497a85956
15164e55ccc9ea
hexb2fdf06a148

12300233122120 has 32 divisors (see below), whose sum is σ = 28878808201920. Its totient is φ = 4706176150720.

The previous prime is 12300233122117. The next prime is 12300233122123. The reversal of 12300233122120 is 2122133200321.

12300233122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12300233122117) and next prime (12300233122123).

It is a junction number, because it is equal to n+sod(n) for n = 12300233122091 and 12300233122100.

It is not an unprimeable number, because it can be changed into a prime (12300233122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6684908386 + ... + 6684910225.

It is an arithmetic number, because the mean of its divisors is an integer number (902462756310).

Almost surely, 212300233122120 is an apocalyptic number.

12300233122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300233122120 is an abundant number, since it is smaller than the sum of its proper divisors (16578575079800).

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

12300233122120 is a wasteful number, since it uses less digits than its factorization.

12300233122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13369818645 (or 13369818641 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12300233122120 its reverse (2122133200321), we get a palindrome (14422366322441).

The spelling of 12300233122120 in words is "twelve trillion, three hundred billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 13369818611 26739637222 53479274444 66849093055 106958548888 133698186110 267396372220 307505828053 534792744440 615011656106 1230023312212 1537529140265 2460046624424 3075058280530 6150116561060 12300233122120