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120000130001220 = 22357811352299131
BaseRepresentation
bin11011010010001110110101…
…000111110010100101000100
3120201212220022101101210002110
4123102032311013302211010
5111212040231240014340
61103115144303141020
734163503042161360
oct3322166507624504
9521786271353073
10120000130001220
1135265850a97037
12115609b48a4770
1351c5c6b345b81
14218c0744302a0
15dd172ac84680
hex6d23b51f2944

120000130001220 has 96 divisors (see below), whose sum is σ = 384473907127296. Its totient is φ = 27394780348800.

The previous prime is 120000130001159. The next prime is 120000130001233. The reversal of 120000130001220 is 22100031000021.

120000130001220 is digitally balanced in base 3, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 120000130001196 and 120000130001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175808946 + ... + 176490185.

It is an arithmetic number, because the mean of its divisors is an integer number (4004936532576).

Almost surely, 2120000130001220 is an apocalyptic number.

120000130001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000130001220 is an abundant number, since it is smaller than the sum of its proper divisors (264473777126076).

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

120000130001220 is a wasteful number, since it uses less digits than its factorization.

120000130001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352299961 (or 352299959 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120000130001220 its reverse (22100031000021), we get a palindrome (142100161001241).

The spelling of 120000130001220 in words is "one hundred twenty trillion, one hundred thirty million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 811 1622 2433 3244 4055 4866 5677 8110 9732 11354 12165 16220 17031 22708 24330 28385 34062 48660 56770 68124 85155 113540 170310 340620 352299131 704598262 1056897393 1409196524 1761495655 2113794786 2466093917 3522991310 4227589572 4932187834 5284486965 7045982620 7398281751 9864375668 10568973930 12330469585 14796563502 21137947860 24660939170 29593127004 36991408755 49321878340 73982817510 147965635020 285714595241 571429190482 857143785723 1142858380964 1428572976205 1714287571446 2000002166687 2857145952410 3428575142892 4000004333374 4285718928615 5714291904820 6000006500061 8000008666748 8571437857230 10000010833435 12000013000122 17142875714460 20000021666870 24000026000244 30000032500305 40000043333740 60000065000610 120000130001220