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12112000000 = 21056757
BaseRepresentation
bin10110100011110111…
…00111010000000000
31011021002212100110121
423101323213100000
5144301133000000
65321510110024
7606101205232
oct132173472000
934232770417
1012112000000
1151559a9961
12242034b314
1311b041a309
1482c854252
154ad4e5b1a
hex2d1ee7400

12112000000 has 154 divisors (see below), whose sum is σ = 30304807406. Its totient is φ = 4838400000.

The previous prime is 12111999989. The next prime is 12112000001. The reversal of 12112000000 is 21121.

It can be written as a sum of positive squares in 7 ways, for example, as 12103520256 + 8479744 = 110016^2 + 2912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999622 + ... + 16000378.

Almost surely, 212112000000 is an apocalyptic number.

12112000000 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 12112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152403703).

12112000000 is an abundant number, since it is smaller than the sum of its proper divisors (18192807406).

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

12112000000 is an frugal number, since it uses more digits than its factorization.

12112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12112000000 its reverse (21121), we get a palindrome (12112021121).

The spelling of 12112000000 in words is "twelve billion, one hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 757 800 1000 1024 1250 1280 1514 1600 2000 2500 2560 3028 3125 3200 3785 4000 5000 5120 6056 6250 6400 7570 8000 10000 12112 12500 12800 15140 15625 16000 18925 20000 24224 25000 25600 30280 31250 32000 37850 40000 48448 50000 60560 62500 64000 75700 80000 94625 96896 100000 121120 125000 128000 151400 160000 189250 193792 200000 242240 250000 302800 320000 378500 387584 400000 473125 484480 500000 605600 640000 757000 775168 800000 946250 968960 1000000 1211200 1514000 1600000 1892500 1937920 2000000 2365625 2422400 3028000 3200000 3785000 3875840 4000000 4731250 4844800 6056000 7570000 8000000 9462500 9689600 11828125 12112000 15140000 16000000 18925000 19379200 23656250 24224000 30280000 37850000 47312500 48448000 60560000 75700000 94625000 96896000 121120000 151400000 189250000 242240000 302800000 378500000 484480000 605600000 757000000 1211200000 1514000000 2422400000 3028000000 6056000000 12112000000