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12331212320 = 255712786693
BaseRepresentation
bin10110111101111111…
…10101111000100000
31011211101100111020102
423132333311320200
5200223242243240
65355340401532
7614402401220
oct133677657040
934741314212
1012331212320
115258714369
1224818462a8
13121697034b
1484d9d8080
154c2897815
hex2deff5e20

12331212320 has 96 divisors (see below), whose sum is σ = 33556819968. Its totient is φ = 4194505728.

The previous prime is 12331212301. The next prime is 12331212323. The reversal of 12331212320 is 2321213321.

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 = 12331212292 and 12331212301.

It is not an unprimeable number, because it can be changed into a prime (12331212323) 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, 98894 + ... + 185586.

It is an arithmetic number, because the mean of its divisors is an integer number (349550208).

Almost surely, 212331212320 is an apocalyptic number.

12331212320 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 12331212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778409984).

12331212320 is an abundant number, since it is smaller than the sum of its proper divisors (21225607648).

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

12331212320 is a wasteful number, since it uses less digits than its factorization.

12331212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86842 (or 86834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12331212320 its reverse (2321213321), we get a palindrome (14652425641).

The spelling of 12331212320 in words is "twelve billion, three hundred thirty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1778 2032 2540 3556 4064 4445 5080 7112 8890 10160 14224 17780 20320 28448 35560 71120 86693 142240 173386 346772 433465 606851 693544 866930 1213702 1387088 1733860 2427404 2774176 3034255 3467720 4854808 6068510 6935440 9709616 11010011 12137020 13870880 19419232 22020022 24274040 44040044 48548080 55050055 77070077 88080088 97096160 110100110 154140154 176160176 220200220 308280308 352320352 385350385 440400440 616560616 770700770 880800880 1233121232 1541401540 1761601760 2466242464 3082803080 6165606160 12331212320