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12231949968 = 243472192617
BaseRepresentation
bin10110110010001010…
…01011111010010000
31011120110120102220000
423121011023322100
5200022334344333
65341433050000
7612055600500
oct133105137220
934513512800
1012231949968
115207687067
122454556900
1311cc227524
14840759a00
154b8cdb713
hex2d914be90

12231949968 has 150 divisors (see below), whose sum is σ = 41183076726. Its totient is φ = 3494824704.

The previous prime is 12231949967. The next prime is 12231949987. The reversal of 12231949968 is 86994913221.

It can be written as a sum of positive squares in only one way, i.e., 11255512464 + 976437504 = 106092^2 + 31248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (12231949967) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32805 + ... + 159812.

Almost surely, 212231949968 is an apocalyptic number.

12231949968 is a gapful number since it is divisible by the number (18) 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 12231949968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591538363).

12231949968 is an abundant number, since it is smaller than the sum of its proper divisors (28951126758).

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

12231949968 is a wasteful number, since it uses less digits than its factorization.

12231949968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192651 (or 192629 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 12231949968 in words is "twelve billion, two hundred thirty-one million, nine hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 192617 385234 577851 770468 1155702 1348319 1540936 1733553 2311404 2696638 3081872 3467106 4044957 4622808 5200659 5393276 6934212 8089914 9245616 9438233 10401318 10786552 12134871 13868424 15601977 16179828 18876466 20802636 21573104 24269742 27736848 28314699 31203954 32359656 36404613 37752932 41605272 48539484 56629398 62407908 64719312 72809226 75505864 83210544 84944097 97078968 109213839 113258796 124815816 145618452 151011728 169888194 194157936 218427678 226517592 249631632 254832291 291236904 339776388 436855356 453035184 509664582 582473808 679552776 764496873 873710712 1019329164 1359105552 1528993746 1747421424 2038658328 3057987492 4077316656 6115974984 12231949968