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12123132224 = 26767403889
BaseRepresentation
bin10110100101001100…
…00101000101000000
31011021212210221000012
423102212011011000
5144312010212344
65322544444052
7606264631550
oct132246050500
934255727005
1012123132224
115161212745
122424019628
1311b2817328
14830111160
154ae49429e
hex2d2985140

12123132224 has 56 divisors (see below), whose sum is σ = 27903952320. Its totient is φ = 5118068736.

The previous prime is 12123132223. The next prime is 12123132289. The reversal of 12123132224 is 42223132121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 12123132224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123132223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171929 + ... + 231960.

Almost surely, 212123132224 is an apocalyptic number.

12123132224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12123132224 is an abundant number, since it is smaller than the sum of its proper divisors (15780820096).

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

12123132224 is an equidigital number, since it uses as much as digits as its factorization.

12123132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403975 (or 403965 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

Adding to 12123132224 its reverse (42223132121), we get a palindrome (54346264345).

The spelling of 12123132224 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 3752 4288 7504 15008 30016 403889 807778 1615556 2827223 3231112 5654446 6462224 11308892 12924448 22617784 25848896 27060563 45235568 54121126 90471136 108242252 180942272 189423941 216484504 378847882 432969008 757695764 865938016 1515391528 1731876032 3030783056 6061566112 12123132224