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12301312320 = 2633511711823
BaseRepresentation
bin10110111010011011…
…10010000101000000
31011202022002102011000
423131031302011000
5200143113443240
65352351452000
7613560300213
oct133515620500
934668072130
1012301312320
115242852020
122473827000
131210701a3b
14849a5377a
154bee3d430
hex2dd372140

12301312320 has 448 divisors, whose sum is σ = 48034529280. Its totient is φ = 2938521600.

The previous prime is 12301312313. The next prime is 12301312343. The reversal of 12301312320 is 2321310321.

12301312320 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 312 + 320 = 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 = 12301312293 and 12301312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6746929 + ... + 6748751.

Almost surely, 212301312320 is an apocalyptic number.

12301312320 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 12301312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017264640).

12301312320 is an abundant number, since it is smaller than the sum of its proper divisors (35733216960).

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

12301312320 is a wasteful number, since it uses less digits than its factorization.

12301312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1915 counting only the distinct ones).

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

Adding to 12301312320 its reverse (2321310321), we get a palindrome (14622622641).

The spelling of 12301312320 in words is "twelve billion, three hundred one million, three hundred twelve thousand, three hundred twenty".