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12234443112 = 2332169922821
BaseRepresentation
bin10110110010011101…
…01100100101101000
31011120122021002211200
423121032230211220
5200024004134422
65342002324200
7612116023233
oct133116544550
934518232750
1012234443112
11520902a211
122455359660
1311cc8bb268
14840c0841a
154b91302ac
hex2d93ac968

12234443112 has 24 divisors (see below), whose sum is σ = 33134950290. Its totient is φ = 4078147680.

The previous prime is 12234443099. The next prime is 12234443131. The reversal of 12234443112 is 21134443221.

12234443112 is a `hidden beast` number, since 1 + 2 + 2 + 344 + 4 + 311 + 2 = 666.

12234443112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9540210276 + 2694232836 = 97674^2 + 51906^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84961339 + ... + 84961482.

Almost surely, 212234443112 is an apocalyptic number.

12234443112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12234443112 is an abundant number, since it is smaller than the sum of its proper divisors (20900507178).

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

12234443112 is a wasteful number, since it uses less digits than its factorization.

12234443112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169922833 (or 169922826 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12234443112 its reverse (21134443221), we get a palindrome (33368886333).

The spelling of 12234443112 in words is "twelve billion, two hundred thirty-four million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 169922821 339845642 509768463 679691284 1019536926 1359382568 1529305389 2039073852 3058610778 4078147704 6117221556 12234443112