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12252231024 = 243111710712757
BaseRepresentation
bin10110110100100101…
…00011010101110000
31011121212201211021020
423122102203111300
5200043032343044
65343435455440
7612423150105
oct133222432560
934555654236
1012252231024
115218079570
12245b2b7580
1312034a8857
14843318aac
154ba995a19
hex2da4a3570

12252231024 has 160 divisors (see below), whose sum is σ = 36904709376. Its totient is φ = 3461468160.

The previous prime is 12252230993. The next prime is 12252231059. The reversal of 12252231024 is 42013225221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12252230985 and 12252231003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954054 + ... + 966810.

Almost surely, 212252231024 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 12252231024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452354688).

12252231024 is an abundant number, since it is smaller than the sum of its proper divisors (24652478352).

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

12252231024 is a wasteful number, since it uses less digits than its factorization.

12252231024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12903 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12252231024 its reverse (42013225221), we get a palindrome (54265456245).

The spelling of 12252231024 in words is "twelve billion, two hundred fifty-two million, two hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 107 132 136 176 187 204 214 264 272 321 374 408 428 528 561 642 748 816 856 1122 1177 1284 1496 1712 1819 2244 2354 2568 2992 3531 3638 4488 4708 5136 5457 7062 7276 8976 9416 10914 12757 14124 14552 18832 20009 21828 25514 28248 29104 38271 40018 43656 51028 56496 60027 76542 80036 87312 102056 120054 140327 153084 160072 204112 216869 240108 280654 306168 320144 420981 433738 480216 561308 612336 650607 841962 867476 960432 1122616 1301214 1364999 1683924 1734952 2245232 2385559 2602428 2729998 3367848 3469904 4094997 4771118 5204856 5459996 6735696 7156677 8189994 9542236 10409712 10919992 14313354 15014989 16379988 19084472 21839984 23204983 28626708 30029978 32759976 38168944 45044967 46409966 57253416 60059956 65519952 69614949 90089934 92819932 114506832 120119912 139229898 180179868 185639864 240239824 255254813 278459796 360359736 371279728 510509626 556919592 720719472 765764439 1021019252 1113839184 1531528878 2042038504 3063057756 4084077008 6126115512 12252231024