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12330221120 = 26575504563
BaseRepresentation
bin10110111101111000…
…00011111001000000
31011211022111010120022
423132330003321000
5200223014033440
65355303233012
7614361102350
oct133674037100
934738433508
1012330221120
1152580a7698
122481448768
1312166b4139
1484d81ab60
154c274dcb5
hex2def03e40

12330221120 has 56 divisors (see below), whose sum is σ = 33555822144. Its totient is φ = 4227503616.

The previous prime is 12330221119. The next prime is 12330221149. The reversal of 12330221120 is 2112203321.

12330221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 2750042 + ... + 2754521.

Almost surely, 212330221120 is an apocalyptic number.

12330221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330221120 is an abundant number, since it is smaller than the sum of its proper divisors (21225601024).

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

12330221120 is an equidigital number, since it uses as much as digits as its factorization.

12330221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504587 (or 5504577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12330221120 its reverse (2112203321), we get a palindrome (14442424441).

The spelling of 12330221120 in words is "twelve billion, three hundred thirty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5504563 11009126 22018252 27522815 38531941 44036504 55045630 77063882 88073008 110091260 154127764 176146016 192659705 220182520 308255528 352292032 385319410 440365040 616511056 770638820 880730080 1233022112 1541277640 1761460160 2466044224 3082555280 6165110560 12330221120