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12422324000 = 255329107089
BaseRepresentation
bin10111001000110110…
…11001111100100000
31012001201210102222002
423210123121330200
5200420103332000
65412353303132
7616560004022
oct134433317440
935051712862
1012422324000
1152a5094979
1224a8264aa8
13122c7c1298
1485bb54012
154ca8938d5
hex2e46d9f20

12422324000 has 96 divisors (see below), whose sum is σ = 31574415600. Its totient is φ = 4797542400.

The previous prime is 12422323981. The next prime is 12422324009. The reversal of 12422324000 is 42322421.

12422324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22165264 + 12400158736 = 4708^2 + 111356^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12422324009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62456 + ... + 169544.

Almost surely, 212422324000 is an apocalyptic number.

12422324000 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 12422324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787207800).

12422324000 is an abundant number, since it is smaller than the sum of its proper divisors (19152091600).

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

12422324000 is a wasteful number, since it uses less digits than its factorization.

12422324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107143 (or 107125 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12422324000 its reverse (42322421), we get a palindrome (12464646421).

The spelling of 12422324000 in words is "twelve billion, four hundred twenty-two million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 107089 116000 214178 428356 535445 856712 1070890 1713424 2141780 2677225 3105581 3426848 4283560 5354450 6211162 8567120 10708900 12422324 13386125 15527905 17134240 21417800 24844648 26772250 31055810 42835600 49689296 53544500 62111620 77639525 85671200 99378592 107089000 124223240 155279050 214178000 248446480 310558100 388197625 428356000 496892960 621116200 776395250 1242232400 1552790500 2484464800 3105581000 6211162000 12422324000