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12306661312 = 2611116315031
BaseRepresentation
bin10110111011000100…
…01011111111000000
31011202200011011120211
423131202023333000
5200201001130222
65353102243504
7613653616021
oct133542137700
934680134524
1012306661312
115245875880
122475586594
13121185561a
1484a646c48
154c0648277
hex2dd88bfc0

12306661312 has 56 divisors (see below), whose sum is σ = 26665805952. Its totient is φ = 5588755200.

The previous prime is 12306661217. The next prime is 12306661331. The reversal of 12306661312 is 21316660321.

It is a super-2 number, since 2×123066613122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811237 + ... + 826267.

Almost surely, 212306661312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12306661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332902976).

12306661312 is an abundant number, since it is smaller than the sum of its proper divisors (14359144640).

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

12306661312 is a wasteful number, since it uses less digits than its factorization.

12306661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16217 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Subtracting 12306661312 from its reverse (21316660321), we obtain a palindrome (9009999009).

The spelling of 12306661312 in words is "twelve billion, three hundred six million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1163 2326 4652 9304 12793 15031 18608 25586 30062 37216 51172 60124 74432 102344 120248 165341 204688 240496 330682 409376 480992 661364 818752 961984 1322728 2645456 5290912 10581824 17481053 34962106 69924212 139848424 192291583 279696848 384583166 559393696 769166332 1118787392 1538332664 3076665328 6153330656 12306661312