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12422213424 = 2432677127423
BaseRepresentation
bin10111001000110101…
…11110111100110000
31012001201120211021200
423210122332330300
5200420041312144
65412351051200
7616556033445
oct134432767460
935051524250
1012422213424
1152a5019895
1224a8210b00
13122c782b5a
1485bb259cc
154ca870c69
hex2e46bef30

12422213424 has 60 divisors (see below), whose sum is σ = 34816569216. Its totient is φ = 4134589056.

The previous prime is 12422213393. The next prime is 12422213459. The reversal of 12422213424 is 42431222421.

It is a happy number.

12422213424 is a `hidden beast` number, since 1 + 2 + 4 + 22 + 213 + 424 = 666.

It is a super-2 number, since 2×124222134242 (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33777 + ... + 161199.

Almost surely, 212422213424 is an apocalyptic number.

It is an amenable number.

12422213424 is an abundant number, since it is smaller than the sum of its proper divisors (22394355792).

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

12422213424 is a wasteful number, since it uses less digits than its factorization.

12422213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128114 (or 128105 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12422213424 its reverse (42431222421), we get a palindrome (54853435845).

The spelling of 12422213424 in words is "twelve billion, four hundred twenty-two million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 677 1354 2031 2708 4062 5416 6093 8124 10832 12186 16248 24372 32496 48744 97488 127423 254846 382269 509692 764538 1019384 1146807 1529076 2038768 2293614 3058152 4587228 6116304 9174456 18348912 86265371 172530742 258796113 345061484 517592226 690122968 776388339 1035184452 1380245936 1552776678 2070368904 3105553356 4140737808 6211106712 12422213424