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12112120300 = 2252719389653
BaseRepresentation
bin10110100011111000…
…00100100111101100
31011021010002110111011
423101330010213230
5144301200322200
65321512435004
7606102216040
oct132174044754
934233073434
1012112120300
115155a81285
1224203a8a64
1311b045ccb7
1482c886020
154ad51b5ba
hex2d1f049ec

12112120300 has 72 divisors (see below), whose sum is σ = 30194032736. Its totient is φ = 4131164160.

The previous prime is 12112120261. The next prime is 12112120327. The reversal of 12112120300 is 302121121.

12112120300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 90274 + ... + 179926.

Almost surely, 212112120300 is an apocalyptic number.

12112120300 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 12112120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097016368).

12112120300 is an abundant number, since it is smaller than the sum of its proper divisors (18081912436).

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

12112120300 is a wasteful number, since it uses less digits than its factorization.

12112120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89867 (or 89860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12112120300 its reverse (302121121), we get a palindrome (12414241421).

The spelling of 12112120300 in words is "twelve billion, one hundred twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 193 350 386 700 772 965 1351 1930 2702 3860 4825 5404 6755 9650 13510 19300 27020 33775 67550 89653 135100 179306 358612 448265 627571 896530 1255142 1793060 2241325 2510284 3137855 4482650 6275710 8965300 12551420 15689275 17303029 31378550 34606058 62757100 69212116 86515145 121121203 173030290 242242406 346060580 432575725 484484812 605606015 865151450 1211212030 1730302900 2422424060 3028030075 6056060150 12112120300