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12330350120 = 2351126174129
BaseRepresentation
bin10110111101111001…
…00011011000101000
31011211022201200112002
423132330203120220
5200223032200440
65355310110132
7614362150424
oct133674433050
934738650462
1012330350120
115258185600
1224814ab348
13121672aa7a
1484d851b84
154c2777115
hex2def23628

12330350120 has 96 divisors (see below), whose sum is σ = 30551509800. Its totient is φ = 4475412480.

The previous prime is 12330350093. The next prime is 12330350129. The reversal of 12330350120 is 2105303321.

It can be written as a sum of positive squares in 4 ways, for example, as 6672602596 + 5657747524 = 81686^2 + 75218^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12330350092 and 12330350101.

It is not an unprimeable number, because it can be changed into a prime (12330350129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2984216 + ... + 2988344.

Almost surely, 212330350120 is an apocalyptic number.

12330350120 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 12330350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275754900).

12330350120 is an abundant number, since it is smaller than the sum of its proper divisors (18221159680).

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

12330350120 is a wasteful number, since it uses less digits than its factorization.

12330350120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 12330350120 its reverse (2105303321), we get a palindrome (14435653441).

The spelling of 12330350120 in words is "twelve billion, three hundred thirty million, three hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 617 968 1210 1234 2420 2468 3085 4129 4840 4936 6170 6787 8258 12340 13574 16516 20645 24680 27148 33032 33935 41290 45419 54296 67870 74657 82580 90838 135740 149314 165160 181676 227095 271480 298628 363352 373285 454190 499609 597256 746570 908380 999218 1493140 1816760 1998436 2498045 2547593 2986280 3996872 4996090 5095186 9992180 10190372 12737965 19984360 20380744 25475930 28023523 50951860 56047046 101903720 112094092 140117615 224188184 280235230 308258753 560470460 616517506 1120940920 1233035012 1541293765 2466070024 3082587530 6165175060 12330350120