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12122221024 = 252367293839
BaseRepresentation
bin10110100101000101…
…00110100111100000
31011021211002122002001
423102202212213200
5144311242033044
65322513133344
7606254115154
oct132242464740
934254078061
1012122221024
115160750091
12242385a254
1311b2588664
1482dd55064
154ae3642d4
hex2d28a69e0

12122221024 has 96 divisors (see below), whose sum is σ = 25391439360. Its totient is φ = 5684777472.

The previous prime is 12122220973. The next prime is 12122221037. The reversal of 12122221024 is 42012222121.

It is a junction number, because it is equal to n+sod(n) for n = 12122220992 and 12122221010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14447997 + ... + 14448835.

It is an arithmetic number, because the mean of its divisors is an integer number (264494160).

Almost surely, 212122221024 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 12122221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695719680).

12122221024 is an abundant number, since it is smaller than the sum of its proper divisors (13269218336).

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

12122221024 is a wasteful number, since it uses less digits than its factorization.

12122221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12122221024 its reverse (42012222121), we get a palindrome (54134443145).

The spelling of 12122221024 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 293 368 536 586 736 839 1072 1172 1541 1678 2144 2344 3082 3356 4688 6164 6712 6739 9376 12328 13424 13478 19297 19631 24656 26848 26956 38594 39262 49312 53912 56213 77188 78524 107824 112426 154376 157048 215648 224852 245827 308752 314096 449704 451513 491654 617504 628192 899408 903026 983308 1292899 1798816 1806052 1966616 2585798 3612104 3933232 5171596 5654021 7224208 7866464 10343192 11308042 14448416 16470409 20686384 22616084 32940818 41372768 45232168 65881636 90464336 131763272 180928672 263526544 378819407 527053088 757638814 1515277628 3030555256 6061110512 12122221024