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12320440000 = 26541128001
BaseRepresentation
bin10110111100101101…
…01111111011000000
31011210122002012101121
423132112233323000
5200213013040000
65354313442024
7614212004101
oct133626577300
934718065347
1012320440000
115252626a20
12247a110314
13121466b0ab
1484c3d23a8
154c196ab1a
hex2de5afec0

12320440000 has 140 divisors (see below), whose sum is σ = 33329212488. Its totient is φ = 4480000000.

The previous prime is 12320439959. The next prime is 12320440007. The reversal of 12320440000 is 4402321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12320440007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426000 + ... + 454000.

Almost surely, 212320440000 is an apocalyptic number.

12320440000 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 12320440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664606244).

12320440000 is an abundant number, since it is smaller than the sum of its proper divisors (21008772488).

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

12320440000 is an equidigital number, since it uses as much as digits as its factorization.

12320440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28044 (or 28019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12320440000 its reverse (4402321), we get a palindrome (12324842321).

The spelling of 12320440000 in words is "twelve billion, three hundred twenty million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 28001 40000 44000 55000 56002 88000 110000 112004 140005 220000 224008 280010 308011 440000 448016 560020 616022 700025 896032 1120040 1232044 1400050 1540055 1792064 2240080 2464088 2800100 3080110 3500125 4480160 4928176 5600200 6160220 7000250 7700275 8960320 9856352 11200400 12320440 14000500 15400550 17500625 19712704 22400800 24640880 28001000 30801100 35001250 38501375 44801600 49281760 56002000 61602200 70002500 77002750 98563520 112004000 123204400 140005000 154005500 192506875 224008000 246408800 280010000 308011000 385013750 492817600 560020000 616022000 770027500 1120040000 1232044000 1540055000 2464088000 3080110000 6160220000 12320440000