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12301420320 = 2533571723929
BaseRepresentation
bin10110111010011100…
…01100011100100000
31011202022021220022000
423131032030130200
5200143130422240
65352354044000
7613561230120
oct133516143440
934668256260
1012301420320
115242916182
122473879600
13121073bc47
14849a80c80
154bee60430
hex2dd38c720

12301420320 has 384 divisors, whose sum is σ = 52102310400. Its totient is φ = 2646245376.

The previous prime is 12301420319. The next prime is 12301420321. The reversal of 12301420320 is 2302410321.

12301420320 is a `hidden beast` number, since 1 + 2 + 301 + 42 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12301420319) and next prime (12301420321).

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 = 12301420293 and 12301420302.

It is not an unprimeable number, because it can be changed into a prime (12301420321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502116 + ... + 526044.

It is an arithmetic number, because the mean of its divisors is an integer number (135683100).

Almost surely, 212301420320 is an apocalyptic number.

12301420320 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 12301420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26051155200).

12301420320 is an abundant number, since it is smaller than the sum of its proper divisors (39800890080).

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

12301420320 is a wasteful number, since it uses less digits than its factorization.

12301420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23977 (or 23963 counting only the distinct ones).

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

Adding to 12301420320 its reverse (2302410321), we get a palindrome (14603830641).

Subtracting from 12301420320 its reverse (2302410321), we obtain a palindrome (9999009999).

The spelling of 12301420320 in words is "twelve billion, three hundred one million, four hundred twenty thousand, three hundred twenty".