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12443432112 = 2433372233491
BaseRepresentation
bin10111001011010111…
…11011010010110000
31012010012111211212000
423211223323102300
5200441004311422
65414425534000
7620234266506
oct134553732260
935105454760
1012443432112
115305aa17a1
1224b3344300
131233ca1ba7
1486088a676
154cc662cac
hex2e5afb4b0

12443432112 has 160 divisors (see below), whose sum is σ = 36857640960. Its totient is φ = 4016459520.

The previous prime is 12443432107. The next prime is 12443432119. The reversal of 12443432112 is 21123434421.

12443432112 is a `hidden beast` number, since 1 + 2 + 443 + 4 + 3 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12443432119) 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 31 ways as a sum of consecutive naturals, for example, 3562687 + ... + 3566177.

It is an arithmetic number, because the mean of its divisors is an integer number (230360256).

Almost surely, 212443432112 is an apocalyptic number.

12443432112 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 12443432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428820480).

12443432112 is an abundant number, since it is smaller than the sum of its proper divisors (24414208848).

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

12443432112 is a wasteful number, since it uses less digits than its factorization.

12443432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3756 counting only the distinct ones).

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

Adding to 12443432112 its reverse (21123434421), we get a palindrome (33566866533).

The spelling of 12443432112 in words is "twelve billion, four hundred forty-three million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 223 296 333 432 444 446 592 666 669 888 892 999 1332 1338 1776 1784 1998 2007 2664 2676 3491 3568 3996 4014 5328 5352 6021 6982 7992 8028 8251 10473 10704 12042 13964 15984 16056 16502 20946 24084 24753 27928 31419 32112 33004 41892 48168 49506 55856 62838 66008 74259 83784 94257 96336 99012 125676 129167 132016 148518 167568 188514 198024 222777 251352 258334 297036 377028 387501 396048 445554 502704 516668 594072 754056 775002 778493 891108 1033336 1162503 1188144 1508112 1550004 1556986 1782216 2066672 2325006 2335479 3100008 3113972 3487509 3564432 4650012 4670958 6200016 6227944 6975018 7006437 9300024 9341916 12455888 13950036 14012874 18600048 18683832 21019311 27900072 28025748 28804241 37367664 42038622 55800144 56051496 57608482 84077244 86412723 112102992 115216964 168154488 172825446 230433928 259238169 336308976 345650892 460867856 518476338 691301784 777714507 1036952676 1382603568 1555429014 2073905352 3110858028 4147810704 6221716056 12443432112