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1200010000112 = 2471117280320441
BaseRepresentation
bin10001011101100110001…
…010110111011011110000
311020201102202112011112222
4101131212022313123300
5124130110030000422
62315135454540212
7152461236462620
oct21354612673360
94221382464488
101200010000112
11422a153a7350
121746a0b07668
13892116a9631
144211b9ac880
1521335a13842
hex117662b76f0

1200010000112 has 160 divisors (see below), whose sum is σ = 3070483905024. Its totient is φ = 439855718400.

The previous prime is 1200010000109. The next prime is 1200010000117. The reversal of 1200010000112 is 2110000100021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1200010000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200010000117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58695812 + ... + 58716252.

Almost surely, 21200010000112 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 1200010000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535241952512).

1200010000112 is an abundant number, since it is smaller than the sum of its proper divisors (1870473904912).

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

1200010000112 is a wasteful number, since it uses less digits than its factorization.

1200010000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23287 (or 23281 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1200010000112 its reverse (2110000100021), we get a palindrome (3310010100133).

Subtracting 1200010000112 from its reverse (2110000100021), we obtain a palindrome (909990099909).

The spelling of 1200010000112 in words is "one trillion, two hundred billion, ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2803 2992 5236 5606 10472 11212 19621 20441 20944 22424 30833 39242 40882 44848 47651 61666 78484 81764 95302 123332 143087 156968 163528 190604 215831 224851 246664 286174 313936 327056 333557 347497 381208 431662 449702 493328 524161 572348 667114 694994 762416 863324 899404 1048322 1144696 1334228 1389988 1573957 1726648 1798808 2096644 2289392 2432479 2668456 2779976 3147914 3453296 3597616 3669127 3822467 4193288 4864958 5336912 5559952 6295828 7338254 7644934 8386576 9729916 12591656 14676508 15289868 19459832 25183312 26757269 29353016 30579736 38919664 53514538 57296123 58706032 61159472 107029076 114592246 214058152 229184492 401072861 428116304 458368984 630257353 802145722 916737968 974034091 1260514706 1604291444 1948068182 2521029412 3208582888 3896136364 4411801471 5042058824 6417165776 6818238637 7792272728 8823602942 10084117648 10714375001 13636477274 15584545456 17647205884 21428750002 27272954548 35294411768 42857500004 54545909096 70588823536 75000625007 85715000008 109091818192 150001250014 171430000016 300002500028 600005000056 1200010000112