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11001112212012 = 22313432311709649
BaseRepresentation
bin1010000000010110010101…
…1000101011001000101100
31102221200210102110220100220
42200011211120223020230
52420220234211241022
635221501410051340
72213542546631046
oct240054530531054
942850712426326
1011001112212012
11356160005529a
12129810a279b50
1361a52898c380
142a0657172a96
1514126e15385c
hexa016562b22c

11001112212012 has 96 divisors (see below), whose sum is σ = 28298979878400. Its totient is φ = 3304802350080.

The previous prime is 11001112212011. The next prime is 11001112212017. The reversal of 11001112212012 is 21021221110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11001112211982 and 11001112212000.

It is not an unprimeable number, because it can be changed into a prime (11001112212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15147364 + ... + 15857012.

It is an arithmetic number, because the mean of its divisors is an integer number (294781040400).

Almost surely, 211001112212012 is an apocalyptic number.

11001112212012 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 11001112212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149489939200).

11001112212012 is an abundant number, since it is smaller than the sum of its proper divisors (17297867666388).

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

11001112212012 is a wasteful number, since it uses less digits than its factorization.

11001112212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712023 (or 712021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001112212012 its reverse (21021221110011), we get a palindrome (32022333322023).

The spelling of 11001112212012 in words is "eleven trillion, one billion, one hundred twelve million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 2311 3354 4622 6708 6933 9244 13866 27732 30043 60086 90129 99373 120172 180258 198746 298119 360516 397492 596238 709649 1192476 1291849 1419298 2128947 2583698 2838596 3875547 4257894 5167396 7751094 8515788 9225437 15502188 18450874 27676311 30514907 36901748 55352622 61029814 91544721 110705244 122059628 183089442 366178884 396693791 793387582 1190081373 1586775164 1639998839 2380162746 3279997678 4760325492 4919996517 6559995356 9839993034 19679986068 21319984907 42639969814 63959954721 70519950077 85279939628 127919909442 141039900154 211559850231 255839818884 282079800308 423119700462 846239400924 916759351001 1833518702002 2750278053003 3667037404004 5500556106006 11001112212012