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12222141344 = 257231251443
BaseRepresentation
bin10110110000111111…
…10001001110100000
31011112210010002222122
423120133301032200
5200012332010334
65340442523412
7611606326100
oct133037611640
934483102878
1012222141344
115202097766
122451206568
1311ca1a1aca
1483d325200
154b800032e
hex2d87f13a0

12222141344 has 72 divisors (see below), whose sum is σ = 28893932928. Its totient is φ = 5069070720.

The previous prime is 12222141341. The next prime is 12222141361. The reversal of 12222141344 is 44314122221.

12222141344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12222141341) 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 11 ways as a sum of consecutive naturals, for example, 77114 + ... + 174329.

It is an arithmetic number, because the mean of its divisors is an integer number (401304624).

Almost surely, 212222141344 is an apocalyptic number.

12222141344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12222141344 is an abundant number, since it is smaller than the sum of its proper divisors (16671791584).

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

12222141344 is a wasteful number, since it uses less digits than its factorization.

12222141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251498 (or 251483 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 12222141344 its reverse (44314122221), we get a palindrome (56536263565).

The spelling of 12222141344 in words is "twelve billion, two hundred twenty-two million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1519 1568 1736 3038 3472 6076 6944 12152 24304 48608 251443 502886 1005772 1760101 2011544 3520202 4023088 7040404 7794733 8046176 12320707 14080808 15589466 24641414 28161616 31178932 49282828 54563131 56323232 62357864 98565656 109126262 124715728 197131312 218252524 249431456 381941917 394262624 436505048 763883834 873010096 1527767668 1746020192 3055535336 6111070672 12222141344