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12123223011 = 32191011933637
BaseRepresentation
bin10110100101001100…
…11011001111100011
31011021212222112112200
423102212123033203
5144312021114021
65322550424243
7606265460334
oct132246331743
934255875480
1012123223011
115161274979
122424062083
1311b2849753
1483013628b
154ae4b1126
hex2d299b3e3

12123223011 has 48 divisors (see below), whose sum is σ = 18717073440. Its totient is φ = 7539609600.

The previous prime is 12123222989. The next prime is 12123223027. The reversal of 12123223011 is 11032232121.

It is a de Polignac number, because none of the positive numbers 2k-12123223011 is a prime.

It is a super-2 number, since 2×121232230112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12123223031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3331485 + ... + 3335121.

It is an arithmetic number, because the mean of its divisors is an integer number (389939030).

Almost surely, 212123223011 is an apocalyptic number.

12123223011 is a deficient number, since it is larger than the sum of its proper divisors (6593850429).

12123223011 is a wasteful number, since it uses less digits than its factorization.

12123223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123223011 its reverse (11032232121), we get a palindrome (23155455132).

It can be divided in two parts, 1212 and 3223011, that added together give a palindrome (3224223).

The spelling of 12123223011 in words is "twelve billion, one hundred twenty-three million, two hundred twenty-three thousand, eleven".

Divisors: 1 3 9 19 57 101 171 193 303 579 909 1737 1919 3637 3667 5757 10911 11001 17271 19493 32733 33003 58479 69103 175437 207309 367337 370367 621927 701941 1102011 1111101 2105823 3306033 3333303 6317469 6979403 13336879 20938209 40010637 62814627 70896041 120031911 212688123 638064369 1347024779 4041074337 12123223011