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12232013112 = 23321136742083
BaseRepresentation
bin10110110010001010…
…11011010100111000
31011120110200122111200
423121011123110320
5200022343404422
65341434254200
7612056252544
oct133105332470
934513618450
1012232013112
11520771a550
122454587360
1311cc24a1a7
14840774a24
154b8d002ac
hex2d915b538

12232013112 has 96 divisors (see below), whose sum is σ = 36239374080. Its totient is φ = 3696482880.

The previous prime is 12232013107. The next prime is 12232013119. The reversal of 12232013112 is 21131023221.

12232013112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232013119) 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 23 ways as a sum of consecutive naturals, for example, 269623 + ... + 311705.

It is an arithmetic number, because the mean of its divisors is an integer number (377493480).

Almost surely, 212232013112 is an apocalyptic number.

12232013112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119687040).

12232013112 is an abundant number, since it is smaller than the sum of its proper divisors (24007360968).

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

12232013112 is a wasteful number, since it uses less digits than its factorization.

12232013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42473 (or 42466 counting only the distinct ones).

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

Adding to 12232013112 its reverse (21131023221), we get a palindrome (33363036333).

The spelling of 12232013112 in words is "twelve billion, two hundred thirty-two million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 367 396 734 792 1101 1468 2202 2936 3303 4037 4404 6606 8074 8808 12111 13212 16148 24222 26424 32296 36333 42083 48444 72666 84166 96888 126249 145332 168332 252498 290664 336664 378747 462913 504996 757494 925826 1009992 1388739 1514988 1851652 2777478 3029976 3703304 4166217 5554956 8332434 11109912 15444461 16664868 30888922 33329736 46333383 61777844 92666766 123555688 139000149 169889071 185333532 278000298 339778142 370667064 509667213 556000596 679556284 1019334426 1112001192 1359112568 1529001639 2038668852 3058003278 4077337704 6116006556 12232013112