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12320442420 = 223511133973617
BaseRepresentation
bin10110111100101101…
…10000100000110100
31011210122002022201020
423132112300200310
5200213013124140
65354313501140
7614212014126
oct133626604064
934718068636
1012320442420
115252628820
12247a1117b0
13121466c220
1484c3d3216
154c196b6d0
hex2de5b0834

12320442420 has 192 divisors, whose sum is σ = 40641543936. Its totient is φ = 2749317120.

The previous prime is 12320442391. The next prime is 12320442439. The reversal of 12320442420 is 2424402321.

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, 3404452 + ... + 3408068.

It is an arithmetic number, because the mean of its divisors is an integer number (211674708).

Almost surely, 212320442420 is an apocalyptic number.

12320442420 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 12320442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20320771968).

12320442420 is an abundant number, since it is smaller than the sum of its proper divisors (28321101516).

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

12320442420 is a wasteful number, since it uses less digits than its factorization.

12320442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12320442420 its reverse (2424402321), we get a palindrome (14744844741).

The spelling of 12320442420 in words is "twelve billion, three hundred twenty million, four hundred forty-two thousand, four hundred twenty".