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12000000112112 = 2417193401570047
BaseRepresentation
bin1010111010011111011110…
…1111100111010111110000
31120111012002122021210120202
42232213313233213113300
53033102000012041422
641304420212254332
72345654121660245
oct256476757472760
946435078253522
1012000000112112
113907198251061
12141981b9113a8
1369079772b91c
142d6b35a0b5cc
1515c232e43b92
hexae9f7be75f0

12000000112112 has 80 divisors (see below), whose sum is σ = 24806952110592. Its totient is φ = 5603780198400.

The previous prime is 12000000112109. The next prime is 12000000112117. The reversal of 12000000112112 is 21121100000021.

It is a junction number, because it is equal to n+sod(n) for n = 12000000112093 and 12000000112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000000112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20765873 + ... + 21335919.

Almost surely, 212000000112112 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 12000000112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403476055296).

12000000112112 is an abundant number, since it is smaller than the sum of its proper divisors (12806951998480).

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

12000000112112 is a wasteful number, since it uses less digits than its factorization.

12000000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570666 (or 570660 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12000000112112 its reverse (21121100000021), we get a palindrome (33121100112133).

The spelling of 12000000112112 in words is "twelve trillion, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 386 401 772 802 1544 1604 3088 3208 3281 6416 6562 6817 13124 13634 26248 27268 52496 54536 77393 109072 154786 309572 570047 619144 1140094 1238288 1315681 2280188 2631362 4560376 5262724 9120752 9690799 10525448 19381598 21050896 38763196 77526392 110019071 155052784 220038142 228588847 440076284 457177694 880152568 914355388 1760305136 1828710776 1870324207 3657421552 3740648414 3886010399 7481296828 7772020798 14962593656 15544041596 29925187312 31088083192 44117647471 62176166384 88235294942 176470589884 352941179768 705882359536 750000007007 1500000014014 3000000028028 6000000056056 12000000112112