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12123301320 = 2333513432467
BaseRepresentation
bin10110100101001101…
…01110010111001000
31011021220010111222000
423102212232113020
5144312031120240
65322552231000
7606266234544
oct132246562710
934256114860
1012123301320
115161318799
12242409b460
1311b28762a0
14830156a24
154ae4c9430
hex2d29ae5c8

12123301320 has 384 divisors, whose sum is σ = 44650569600. Its totient is φ = 2908555776.

The previous prime is 12123301313. The next prime is 12123301339. The reversal of 12123301320 is 2310332121.

12123301320 is a `hidden beast` number, since 1 + 2 + 12 + 330 + 1 + 320 = 666.

12123301320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12123301293 and 12123301302.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25959727 + ... + 25960193.

It is an arithmetic number, because the mean of its divisors is an integer number (116277525).

Almost surely, 212123301320 is an apocalyptic number.

12123301320 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 12123301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325284800).

12123301320 is an abundant number, since it is smaller than the sum of its proper divisors (32527268280).

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

12123301320 is a wasteful number, since it uses less digits than its factorization.

12123301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 533 counting only the distinct ones).

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

Adding to 12123301320 its reverse (2310332121), we get a palindrome (14433633441).

The spelling of 12123301320 in words is "twelve billion, one hundred twenty-three million, three hundred one thousand, three hundred twenty".