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12312303120 = 24325137197191
BaseRepresentation
bin10110111011101111…
…01101011000010000
31011210001202210200200
423131313231120100
5200203422144440
65353423215200
7614052564315
oct133567553020
934701683620
1012312303120
115248a79627
122477447500
131212a7c580
1484b2b4d0c
154c0daec30
hex2ddded610

12312303120 has 480 divisors, whose sum is σ = 45861064704. Its totient is φ = 2941747200.

The previous prime is 12312303079. The next prime is 12312303137. The reversal of 12312303120 is 2130321321.

12312303120 is a `hidden beast` number, since 12 + 312 + 30 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12312303093 and 12312303102.

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 95 ways as a sum of consecutive naturals, for example, 64462225 + ... + 64462415.

Almost surely, 212312303120 is an apocalyptic number.

12312303120 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 12312303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22930532352).

12312303120 is an abundant number, since it is smaller than the sum of its proper divisors (33548761584).

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

12312303120 is a wasteful number, since it uses less digits than its factorization.

12312303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12312303120 its reverse (2130321321), we get a palindrome (14442624441).

The spelling of 12312303120 in words is "twelve billion, three hundred twelve million, three hundred three thousand, one hundred twenty".