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12320441120 = 2551317933091
BaseRepresentation
bin10110111100101101…
…10000001100100000
31011210122002020221002
423132112300030200
5200213013103440
65354313451132
7614212010261
oct133626601440
934718066832
1012320441120
115252627849
12247a110aa8
13121466b760
1484c3d2968
154c196b115
hex2de5b0320

12320441120 has 96 divisors (see below), whose sum is σ = 31522115520. Its totient is φ = 4523535360.

The previous prime is 12320441071. The next prime is 12320441123. The reversal of 12320441120 is 2114402321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12320441092 and 12320441101.

It is not an unprimeable number, because it can be changed into a prime (12320441123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355775 + ... + 388865.

It is an arithmetic number, because the mean of its divisors is an integer number (328355370).

Almost surely, 212320441120 is an apocalyptic number.

12320441120 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 12320441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761057760).

12320441120 is an abundant number, since it is smaller than the sum of its proper divisors (19201674400).

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

12320441120 is a wasteful number, since it uses less digits than its factorization.

12320441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33298 (or 33290 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12320441120 its reverse (2114402321), we get a palindrome (14434843441).

The spelling of 12320441120 in words is "twelve billion, three hundred twenty million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 179 208 260 358 416 520 716 895 1040 1432 1790 2080 2327 2864 3580 4654 5728 7160 9308 11635 14320 18616 23270 28640 33091 37232 46540 66182 74464 93080 132364 165455 186160 264728 330910 372320 430183 529456 661820 860366 1058912 1323640 1720732 2150915 2647280 3441464 4301830 5294560 5923289 6882928 8603660 11846578 13765856 17207320 23693156 29616445 34414640 47386312 59232890 68829280 77002757 94772624 118465780 154005514 189545248 236931560 308011028 385013785 473863120 616022056 770027570 947726240 1232044112 1540055140 2464088224 3080110280 6160220560 12320441120