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12300123456 = 2635312823
BaseRepresentation
bin10110111010010010…
…01111110101000000
31011202012212000100000
423131021033311000
5200142312422311
65352310200000
7613544216145
oct133511176500
934665760300
1012300123456
11524210a895
122473353000
1312103a687a
148498243cc
154beca6056
hex2dd24fd40

12300123456 has 252 divisors, whose sum is σ = 37825228896. Its totient is φ = 3962960640.

The previous prime is 12300123443. The next prime is 12300123457. The reversal of 12300123456 is 65432100321.

12300123456 is a `hidden beast` number, since 1 + 2 + 300 + 12 + 345 + 6 = 666.

12300123456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300123457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14945061 + ... + 14945883.

Almost surely, 212300123456 is an apocalyptic number.

12300123456 is a gapful number since it is divisible by the number (16) 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 12300123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912614448).

12300123456 is an abundant number, since it is smaller than the sum of its proper divisors (25525105440).

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

12300123456 is an frugal number, since it uses more digits than its factorization.

12300123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12300123456 its reverse (65432100321), we get a palindrome (77732223777).

The spelling of 12300123456 in words is "twelve billion, three hundred million, one hundred twenty-three thousand, four hundred fifty-six".