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12298138112 = 29134292
BaseRepresentation
bin10110111010000011…
…01011001000000000
31011202002010010221202
423131001223020000
5200141310404422
65352155440332
7613521310031
oct133501531000
934662103852
1012298138112
115240a84207
1224727560a8
13120cb60000
14849468a88
154bea12b92
hex2dd06b200

12298138112 has 150 divisors (see below), whose sum is σ = 27569452053. Its totient is φ = 5480337408.

The previous prime is 12298138093. The next prime is 12298138207. The reversal of 12298138112 is 21183189221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 5797908736 + 6500229376 = 76144^2 + 80624^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78416.

Its product of digits (13824) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 424073714 + ... + 424073742.

Almost surely, 212298138112 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 12298138112

12298138112 is an abundant number, since it is smaller than the sum of its proper divisors (15271313941).

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

12298138112 is an frugal number, since it uses more digits than its factorization.

12298138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 44 counting only the distinct ones).

The product of its digits is 13824, while the sum is 38.

The spelling of 12298138112 in words is "twelve billion, two hundred ninety-eight million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 841 928 1352 1508 1664 1682 1856 2197 2704 3016 3328 3364 3712 4394 4901 5408 6032 6656 6728 7424 8788 9802 10816 10933 12064 13456 14848 17576 19604 21632 21866 24128 26912 28561 35152 39208 43264 43732 48256 53824 57122 63713 70304 78416 86528 87464 96512 107648 114244 127426 140608 142129 156832 174928 193024 215296 228488 254852 281216 284258 313664 349856 430592 456976 509704 562432 568516 627328 699712 828269 913952 1019408 1124864 1137032 1254656 1399424 1656538 1827904 1847677 2038816 2274064 2509312 2798848 3313076 3655808 3695354 4077632 4548128 5597696 6626152 7311616 7390708 8155264 9096256 13252304 14623232 14781416 16310528 18192512 24019801 26504608 29562832 32621056 36385024 48039602 53009216 59125664 72770048 96079204 106018432 118251328 192158408 212036864 236502656 384316816 424073728 473005312 768633632 946010624 1537267264 3074534528 6149069056 12298138112