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12130123300020 = 223251131321539091
BaseRepresentation
bin1011000010000100001110…
…1100001011110010110100
31120221121222011000122020200
42300201003230023302310
53042214443031100040
641444300212000500
72361241522554105
oct260410354136264
946847864018220
1012130123300020
1139573a140a080
12143aa95900130
1369cb33ca53bb
142dd15b5c23ac
151607eb9dc630
hexb0843b0bcb4

12130123300020 has 288 divisors, whose sum is σ = 40291057183104. Its totient is φ = 2929557196800.

The previous prime is 12130123299949. The next prime is 12130123300051. The reversal of 12130123300020 is 2000332103121.

12130123300020 is a `hidden beast` number, since 1 + 21 + 301 + 23 + 300 + 0 + 20 = 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 = 12130123299966 and 12130123300002.

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, 1334295675 + ... + 1334304765.

It is an arithmetic number, because the mean of its divisors is an integer number (139899504108).

Almost surely, 212130123300020 is an apocalyptic number.

12130123300020 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 12130123300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145528591552).

12130123300020 is an abundant number, since it is smaller than the sum of its proper divisors (28160933883084).

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

12130123300020 is a wasteful number, since it uses less digits than its factorization.

12130123300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583 (or 11578 counting only the distinct ones).

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

Adding to 12130123300020 its reverse (2000332103121), we get a palindrome (14130455403141).

The spelling of 12130123300020 in words is "twelve trillion, one hundred thirty billion, one hundred twenty-three million, three hundred thousand, twenty".