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12422344220 = 22511138834919
BaseRepresentation
bin10111001000110110…
…11110111000011100
31012001201211110200222
423210123132320130
5200420110003340
65412353540512
7616560116666
oct134433367034
935051743628
1012422344220
1152a50a9090
1224a8274738
13122c7ca550
1485bb5b536
154ca8998b5
hex2e46dee1c

12422344220 has 96 divisors (see below), whose sum is σ = 30688519680. Its totient is φ = 4164168960.

The previous prime is 12422344201. The next prime is 12422344223. The reversal of 12422344220 is 2244322421.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12422344220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422344223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2522921 + ... + 2527839.

It is an arithmetic number, because the mean of its divisors is an integer number (319672080).

Almost surely, 212422344220 is an apocalyptic number.

12422344220 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 12422344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344259840).

12422344220 is an abundant number, since it is smaller than the sum of its proper divisors (18266175460).

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

12422344220 is a wasteful number, since it uses less digits than its factorization.

12422344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 12422344220 its reverse (2244322421), we get a palindrome (14666666641).

The spelling of 12422344220 in words is "twelve billion, four hundred twenty-two million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 883 1430 1766 2860 3532 4415 4919 8830 9713 9838 11479 17660 19426 19676 22958 24595 38852 45916 48565 49190 54109 57395 63947 97130 98380 108218 114790 126269 127894 194260 216436 229580 252538 255788 270545 319735 505076 541090 631345 639470 703417 1082180 1262690 1278940 1406834 2525380 2813668 3517085 4343477 7034170 8686954 14068340 17373908 21717385 43434770 47778247 56465201 86869540 95556494 112930402 191112988 225860804 238891235 282326005 477782470 564652010 621117211 955564940 1129304020 1242234422 2484468844 3105586055 6211172110 12422344220