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12123204030 = 23257191039833
BaseRepresentation
bin10110100101001100…
…10110100110111110
31011021212221120111200
423102212112212332
5144312020012110
65322550200330
7606265351110
oct132246264676
934255846450
1012123204030
115161261693
1224240530a6
1311b2840c12
1483012d3b0
154ae4aa6c0
hex2d29969be

12123204030 has 192 divisors, whose sum is σ = 38291235840. Its totient is φ = 2599423488.

The previous prime is 12123204013. The next prime is 12123204043. The reversal of 12123204030 is 3040232121.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12123203994 and 12123204012.

It is a congruent number.

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, 1227994 + ... + 1237826.

It is an arithmetic number, because the mean of its divisors is an integer number (199433520).

Almost surely, 212123204030 is an apocalyptic number.

12123204030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123204030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145617920).

12123204030 is an abundant number, since it is smaller than the sum of its proper divisors (26168031810).

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

12123204030 is a wasteful number, since it uses less digits than its factorization.

12123204030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12123204030 its reverse (3040232121), we get a palindrome (15163436151).

It can be divided in two parts, 12123 and 204030, that added together give a triangular number (216153 = T657).

The spelling of 12123204030 in words is "twelve billion, one hundred twenty-three million, two hundred four thousand, thirty".