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12343330424000 = 26533594297817
BaseRepresentation
bin1011001110011110011111…
…0100110100010011000000
31121201000021220211201220002
42303213213310310103000
53104213120042032000
642130240412335132
72412530143323542
oct263474764642300
947630256751802
1012343330424000
113a29860263a74
1214742784744a8
136b6c81576024
143095c5747692
151661296788d5
hexb39e7d344c0

12343330424000 has 112 divisors (see below), whose sum is σ = 30653413277760. Its totient is φ = 4923578009600.

The previous prime is 12343330423999. The next prime is 12343330424011. The reversal of 12343330424000 is 42403334321.

12343330424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723092 + ... + 5020908.

It is an arithmetic number, because the mean of its divisors is an integer number (273691189980).

Almost surely, 212343330424000 is an apocalyptic number.

12343330424000 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 12343330424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326706638880).

12343330424000 is an abundant number, since it is smaller than the sum of its proper divisors (18310082853760).

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

12343330424000 is an equidigital number, since it uses as much as digits as its factorization.

12343330424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298203 (or 4298183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 12343330424000 its reverse (42403334321), we get a palindrome (12385733758321).

The spelling of 12343330424000 in words is "twelve trillion, three hundred forty-three billion, three hundred thirty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 359 400 500 718 800 1000 1436 1600 1795 2000 2872 3590 4000 5744 7180 8000 8975 11488 14360 17950 22976 28720 35900 44875 57440 71800 89750 114880 143600 179500 287200 359000 574400 718000 1436000 2872000 4297817 8595634 17191268 21489085 34382536 42978170 68765072 85956340 107445425 137530144 171912680 214890850 275060288 343825360 429781700 537227125 687650720 859563400 1074454250 1375301440 1542916303 1719126800 2148908500 3085832606 3438253600 4297817000 6171665212 6876507200 7714581515 8595634000 12343330424 15429163030 17191268000 24686660848 30858326060 34382536000 38572907575 49373321696 61716652120 77145815150 98746643392 123433304240 154291630300 192864537875 246866608480 308583260600 385729075750 493733216960 617166521200 771458151500 1234333042400 1542916303000 2468666084800 3085832606000 6171665212000 12343330424000