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12105044512 = 2511292103397
BaseRepresentation
bin10110100011000010…
…00101001000100000
31011020121202222022221
423101201011020200
5144242342411022
65321101040424
7605655115651
oct132141051040
934217688287
1012105044512
115151a89120
122419b56114
1311abb53442
1482b963528
154acabecc7
hex2d1845220

12105044512 has 144 divisors (see below), whose sum is σ = 27255638592. Its totient is φ = 5247728640.

The previous prime is 12105044507. The next prime is 12105044521. The reversal of 12105044512 is 21544050121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30491098 + ... + 30491494.

It is an arithmetic number, because the mean of its divisors is an integer number (189275268).

Almost surely, 212105044512 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 12105044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627819296).

12105044512 is an abundant number, since it is smaller than the sum of its proper divisors (15150594080).

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

12105044512 is a wasteful number, since it uses less digits than its factorization.

12105044512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 12105044512 its reverse (21544050121), we get a palindrome (33649094633).

The spelling of 12105044512 in words is "twelve billion, one hundred five million, forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 103 116 176 206 232 319 352 397 412 464 638 794 824 841 928 1133 1276 1588 1648 1682 2266 2552 2987 3176 3296 3364 4367 4532 5104 5974 6352 6728 8734 9064 9251 10208 11513 11948 12704 13456 17468 18128 18502 23026 23896 26912 32857 34936 36256 37004 40891 46052 47792 65714 69872 74008 81782 86623 92104 95584 126643 131428 139744 148016 163564 173246 184208 253286 262856 296032 327128 333877 346492 368416 449801 506572 525712 654256 667754 692984 899602 952853 1013144 1051424 1185839 1308512 1335508 1385968 1799204 1905706 2026288 2371678 2671016 2771936 3598408 3672647 3811412 4052576 4743356 5342032 7196816 7345294 7622824 9486712 10684064 13044229 14393632 14690588 15245648 18973424 26088458 29381176 30491296 34389331 37946848 52176916 58762352 68778662 104353832 117524704 137557324 208707664 275114648 378282641 417415328 550229296 756565282 1100458592 1513130564 3026261128 6052522256 12105044512