Search a number
-
+
12221320002320 = 245111343531273691
BaseRepresentation
bin1011000111010111111101…
…1011111111101100010000
31121021100100210201010022102
42301311333123333230100
53100213230410033240
641554221421455532
72400650463002462
oct261657733775420
947240323633272
1012221320002320
11399203a594330
1214546a74115a8
136a8608a05b40
1430372d3d2132
15162d87e52815
hexb1d7f6ffb10

12221320002320 has 640 divisors, whose sum is σ = 35086522318848. Its totient is φ = 3899247206400.

The previous prime is 12221320002299. The next prime is 12221320002323. The reversal of 12221320002320 is 2320002312221.

It is a happy number.

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 = 12221320002292 and 12221320002301.

It is not an unprimeable number, because it can be changed into a prime (12221320002323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3311111675 + ... + 3311115365.

Almost surely, 212221320002320 is an apocalyptic number.

12221320002320 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 12221320002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543261159424).

12221320002320 is an abundant number, since it is smaller than the sum of its proper divisors (22865202316528).

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

12221320002320 is a wasteful number, since it uses less digits than its factorization.

12221320002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12221320002320 its reverse (2320002312221), we get a palindrome (14541322314541).

The spelling of 12221320002320 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty million, two thousand, three hundred twenty".