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12034001112 = 2337797331237
BaseRepresentation
bin10110011010100100…
…00100100011011000
31011001200002121002220
423031102010203120
5144121201013422
65310042224040
7604133215230
oct131522044330
934050077086
1012034001112
115115975171
1223ba1b5020
13119a20aa23
1482234ccc0
154a6739e5c
hex2cd4848d8

12034001112 has 128 divisors (see below), whose sum is σ = 34893772800. Its totient is φ = 3387391488.

The previous prime is 12034001003. The next prime is 12034001137. The reversal of 12034001112 is 21110043021.

It is a junction number, because it is equal to n+sod(n) for n = 12034001091 and 12034001100.

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, 9727758 + ... + 9728994.

It is an arithmetic number, because the mean of its divisors is an integer number (272607600).

Almost surely, 212034001112 is an apocalyptic number.

12034001112 is a gapful number since it is divisible by the number (12) 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 12034001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446886400).

12034001112 is an abundant number, since it is smaller than the sum of its proper divisors (22859771688).

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

12034001112 is a wasteful number, since it uses less digits than its factorization.

12034001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12034001112 its reverse (21110043021), we get a palindrome (33144044133).

The spelling of 12034001112 in words is "twelve billion, thirty-four million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 733 948 1106 1237 1466 1659 1896 2199 2212 2474 2932 3318 3711 4398 4424 4948 5131 5864 6636 7422 8659 8796 9896 10262 13272 14844 15393 17318 17592 20524 25977 29688 30786 34636 41048 51954 57907 61572 69272 97723 103908 115814 123144 173721 195446 207816 231628 293169 347442 390892 405349 463256 586338 684061 694884 781784 810698 906721 1172676 1216047 1368122 1389768 1621396 1813442 2052183 2345352 2432094 2720163 2736244 3242792 3626884 4104366 4864188 5440326 5472488 6347047 7253768 8208732 9728376 10880652 12694094 16417464 19041141 21761304 25388188 38082282 50776376 71630959 76164564 143261918 152329128 214892877 286523836 429785754 501416713 573047672 859571508 1002833426 1504250139 1719143016 2005666852 3008500278 4011333704 6017000556 12034001112