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12150231456 = 2531127331427
BaseRepresentation
bin10110101000011010…
…11101000110100000
31011100202210201011110
423110031131012200
5144340424401311
65325353343320
7610044156216
oct132415350640
934322721143
1012150231456
115175541800
122431107b40
1311b8314b8c
14833966cb6
154b1a488a6
hex2d435d1a0

12150231456 has 144 divisors (see below), whose sum is σ = 35129862432. Its totient is φ = 3674288640.

The previous prime is 12150231451. The next prime is 12150231463. The reversal of 12150231456 is 65413205121.

It is not an unprimeable number, because it can be changed into a prime (12150231451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8513815 + ... + 8515241.

It is an arithmetic number, because the mean of its divisors is an integer number (243957378).

Almost surely, 212150231456 is an apocalyptic number.

12150231456 is a gapful number since it is divisible by the number (16) 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 12150231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564931216).

12150231456 is an abundant number, since it is smaller than the sum of its proper divisors (22979630976).

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

12150231456 is a wasteful number, since it uses less digits than its factorization.

12150231456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 12150231456 its reverse (65413205121), we get a palindrome (77563436577).

The spelling of 12150231456 in words is "twelve billion, one hundred fifty million, two hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 733 968 1056 1427 1452 1466 1936 2199 2854 2904 2932 3872 4281 4398 5708 5808 5864 8063 8562 8796 11416 11616 11728 15697 16126 17124 17592 22832 23456 24189 31394 32252 34248 35184 45664 47091 48378 62788 64504 68496 70368 88693 94182 96756 125576 129008 136992 172667 177386 188364 193512 251152 258016 266079 345334 354772 376728 387024 502304 518001 532158 690668 709544 753456 774048 1036002 1045991 1064316 1381336 1419088 1506912 2072004 2091982 2128632 2762672 2838176 3137973 4144008 4183964 4257264 5525344 6275946 8288016 8367928 8514528 11505901 12551892 16576032 16735856 23011802 25103784 33471712 34517703 46023604 50207568 69035406 92047208 100415136 126564911 138070812 184094416 253129822 276141624 368188832 379694733 506259644 552283248 759389466 1012519288 1104566496 1518778932 2025038576 3037557864 4050077152 6075115728 12150231456