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12421441422 = 23313136113001
BaseRepresentation
bin10111001000110000…
…00010011110001110
31012001200010121022000
423210120002132032
5200414342111142
65412322333130
7616546336635
oct134430023616
935050117260
1012421441422
1152a4641875
1224a7aba1a6
13122c572650
1485b9a451c
154ca76c14c
hex2e460278e

12421441422 has 64 divisors (see below), whose sum is σ = 29750656320. Its totient is φ = 3818880000.

The previous prime is 12421441411. The next prime is 12421441423. The reversal of 12421441422 is 22414412421.

12421441422 is a `hidden beast` number, since 1 + 24 + 214 + 4 + 1 + 422 = 666.

It is a super-3 number, since 3×124214414223 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421441423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948922 + ... + 961922.

It is an arithmetic number, because the mean of its divisors is an integer number (464854005).

Almost surely, 212421441422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421441422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875328160).

12421441422 is an abundant number, since it is smaller than the sum of its proper divisors (17329214898).

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

12421441422 is a wasteful number, since it uses less digits than its factorization.

12421441422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14386 (or 14380 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 12421441422 its reverse (22414412421), we get a palindrome (34835853843).

The spelling of 12421441422 in words is "twelve billion, four hundred twenty-one million, four hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1361 2722 4083 8166 12249 13001 17693 24498 26002 35386 36747 39003 53079 73494 78006 106158 117009 159237 169013 234018 318474 338026 351027 477711 507039 702054 955422 1014078 1521117 3042234 4563351 9126702 17694361 35388722 53083083 106166166 159249249 230026693 318498498 460053386 477747747 690080079 955495494 1380160158 2070240237 4140480474 6210720711 12421441422