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12110001012 = 2233473896133
BaseRepresentation
bin10110100011100111…
…11111001101110100
31011020222002210101000
423101303333031310
5144300130013022
65321355203300
7606045211254
oct132163771564
934228083330
1012110001012
115154863aaa
12241b746530
1311acb9a495
1482c493964
154ad24d6ac
hex2d1cff374

12110001012 has 96 divisors (see below), whose sum is σ = 32151974400. Its totient is φ = 3939981696.

The previous prime is 12110001011. The next prime is 12110001031. The reversal of 12110001012 is 21010001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12110000985 and 12110001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110001011) 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, 1971498 + ... + 1977630.

It is an arithmetic number, because the mean of its divisors is an integer number (334916400).

Almost surely, 212110001012 is an apocalyptic number.

12110001012 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 12110001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075987200).

12110001012 is an abundant number, since it is smaller than the sum of its proper divisors (20041973388).

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

12110001012 is a wasteful number, since it uses less digits than its factorization.

12110001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110001012 its reverse (21010001121), we get a palindrome (33120002133).

The spelling of 12110001012 in words is "twelve billion, one hundred ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 389 423 564 778 846 1167 1269 1556 1692 2334 2538 3501 4668 5076 6133 7002 10503 12266 14004 18283 18399 21006 24532 36566 36798 42012 54849 55197 73132 73596 109698 110394 164547 165591 219396 220788 288251 329094 331182 493641 576502 658188 662364 864753 987282 1153004 1729506 1974564 2385737 2594259 3459012 4771474 5188518 7157211 7782777 9542948 10377036 14314422 15565554 21471633 28628844 31131108 42943266 64414899 85886532 112129639 128829798 224259278 257659596 336388917 448518556 672777834 1009166751 1345555668 2018333502 3027500253 4036667004 6055000506 12110001012