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11201212000 = 255311223143
BaseRepresentation
bin10100110111010010…
…01110111001100000
31001220122001112012201
422123221032321200
5140420002241000
65051252502544
7544401505516
oct123351167140
931818045181
1011201212000
114828879400
12220731aa54
1310968174c4
147838ca4b6
1545858796a
hex29ba4ee60

11201212000 has 144 divisors (see below), whose sum is σ = 30252077856. Its totient is φ = 4072992000.

The previous prime is 11201211953. The next prime is 11201212003. The reversal of 11201212000 is 21210211.

11201212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201212003) 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 23 ways as a sum of consecutive naturals, for example, 472429 + ... + 495571.

It is an arithmetic number, because the mean of its divisors is an integer number (210083874).

Almost surely, 211201212000 is an apocalyptic number.

11201212000 is a gapful number since it is divisible by the number (10) 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 11201212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126038928).

11201212000 is an abundant number, since it is smaller than the sum of its proper divisors (19050865856).

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

11201212000 is a wasteful number, since it uses less digits than its factorization.

11201212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23190 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201212000 its reverse (21210211), we get a palindrome (11222422211).

The spelling of 11201212000 in words is "eleven billion, two hundred one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 23143 24200 30250 44000 46286 48400 60500 92572 96800 115715 121000 185144 231430 242000 254573 370288 462860 484000 509146 578575 740576 925720 1018292 1157150 1272865 1851440 2036584 2314300 2545730 2800303 2892875 3702880 4073168 4628600 5091460 5600606 5785750 6364325 8146336 9257200 10182920 11201212 11571500 12728650 14001515 18514400 20365840 22402424 23143000 25457300 28003030 31821625 40731680 44804848 46286000 50914600 56006060 63643250 70007575 89609696 92572000 101829200 112012120 127286500 140015150 203658400 224024240 254573000 280030300 350037875 448048480 509146000 560060600 700075750 1018292000 1120121200 1400151500 2240242400 2800303000 5600606000 11201212000