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12100012212012 = 22317277347617087
BaseRepresentation
bin1011000000010100000011…
…1011011111111100101100
31120211202020122200212202220
42300011000323133330230
53041221311111241022
641422400250515340
72356124403542364
oct260050073377454
946752218625686
1012100012212012
11394564a4a0a7a
121435091735b50
1369a0458b696a
142db9024db9a4
1515eb3826d85c
hexb0140edff2c

12100012212012 has 96 divisors (see below), whose sum is σ = 30088578981888. Its totient is φ = 3771471657984.

The previous prime is 12100012212007. The next prime is 12100012212031. The reversal of 12100012212012 is 21021221000121.

12100012212012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12100012211982 and 12100012212000.

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, 19299733 + ... + 19916819.

It is an arithmetic number, because the mean of its divisors is an integer number (313422697728).

Almost surely, 212100012212012 is an apocalyptic number.

12100012212012 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 12100012212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044289490944).

12100012212012 is an abundant number, since it is smaller than the sum of its proper divisors (17988566769876).

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

12100012212012 is a wasteful number, since it uses less digits than its factorization.

12100012212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617735 (or 617733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12100012212012 its reverse (21021221000121), we get a palindrome (33121233212133).

The spelling of 12100012212012 in words is "twelve trillion, one hundred billion, twelve million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 277 347 554 694 831 1041 1108 1388 1662 2082 3324 4164 4709 5899 9418 11798 14127 17697 18836 23596 28254 35394 56508 70788 96119 192238 288357 384476 576714 617087 1153428 1234174 1634023 1851261 2468348 3268046 3702522 4902069 6536092 7405044 9804138 10490479 19608276 20980958 31471437 41961916 62942874 125885748 170933099 214129189 341866198 428258378 512799297 642387567 683732396 856516756 1025598594 1284775134 2051197188 2569550268 2905862683 3640196213 5811725366 7280392426 8717588049 10920588639 11623450732 14560784852 17435176098 21841177278 34870352196 43682354556 59313785353 118627570706 177941356059 237255141412 355882712118 711765424236 1008334351001 2016668702002 3025003053003 4033337404004 6050006106006 12100012212012