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12422224416 = 253722640779
BaseRepresentation
bin10111001000110110…
…00001101000100000
31012001201121101100210
423210123001220200
5200420042140131
65412351214120
7616556110500
oct134433015040
935051541323
1012422224416
1152a5027078
1224a8217340
13122c787b64
1485bb29a00
154ca874146
hex2e46c1a20

12422224416 has 72 divisors (see below), whose sum is σ = 37932163920. Its totient is φ = 3549205632.

The previous prime is 12422224391. The next prime is 12422224433. The reversal of 12422224416 is 61442222421.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315686 + ... + 1325093.

It is an arithmetic number, because the mean of its divisors is an integer number (526835610).

Almost surely, 212422224416 is an apocalyptic number.

12422224416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12422224416 is an abundant number, since it is smaller than the sum of its proper divisors (25509939504).

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

12422224416 is a wasteful number, since it uses less digits than its factorization.

12422224416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640806 (or 2640791 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 12422224416 its reverse (61442222421), we get a palindrome (73864446837).

The spelling of 12422224416 in words is "twelve billion, four hundred twenty-two million, two hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 2640779 5281558 7922337 10563116 15844674 18485453 21126232 31689348 36970906 42252464 55456359 63378696 73941812 84504928 110912718 126757392 129398171 147883624 221825436 253514784 258796342 295767248 388194513 443650872 517592684 591534496 776389026 887301744 1035185368 1552778052 1774603488 2070370736 3105556104 4140741472 6211112208 12422224416