Search a number
-
+
12120322320 = 2432516833781
BaseRepresentation
bin10110100100110110…
…10111000100010000
31011021200112011112200
423102123113010100
5144310300303240
65322404323200
7606232016451
oct132233270420
934250464480
1012120322320
11515a673607
1224230a3500
1311b2072372
1482d9bd128
154ae0db930
hex2d26d7110

12120322320 has 60 divisors (see below), whose sum is σ = 40704084876. Its totient is φ = 3232085760.

The previous prime is 12120322273. The next prime is 12120322429. The reversal of 12120322320 is 2322302121.

12120322320 is a `hidden beast` number, since 1 + 2 + 1 + 20 + 322 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7825879296 + 4294443024 = 88464^2 + 65532^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12120322293 and 12120322302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8416171 + ... + 8417610.

Almost surely, 212120322320 is an apocalyptic number.

12120322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120322320 is an abundant number, since it is smaller than the sum of its proper divisors (28583762556).

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

12120322320 is a wasteful number, since it uses less digits than its factorization.

12120322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16833800 (or 16833791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12120322320 its reverse (2322302121), we get a palindrome (14442624441).

The spelling of 12120322320 in words is "twelve billion, one hundred twenty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16833781 33667562 50501343 67335124 84168905 101002686 134670248 151504029 168337810 202005372 252506715 269340496 303008058 336675620 404010744 505013430 606016116 673351240 757520145 808021488 1010026860 1212032232 1346702480 1515040290 2020053720 2424064464 3030080580 4040107440 6060161160 12120322320