Search a number
-
+
12211131220 = 225610556561
BaseRepresentation
bin10110101111101011…
…10001001101010100
31011112000101201221021
423113311301031110
5200002022144340
65335410530524
7611413621441
oct132765611524
934460351837
1012211131220
1151a6957692
122449596a44
1311c7b18542
1483ba9a9c8
154b7077e4a
hex2d7d71354

12211131220 has 12 divisors (see below), whose sum is σ = 25643375604. Its totient is φ = 4884452480.

The previous prime is 12211131217. The next prime is 12211131281. The reversal of 12211131220 is 2213111221.

It can be written as a sum of positive squares in 2 ways, for example, as 1989516816 + 10221614404 = 44604^2 + 101102^2 .

It is a super-2 number, since 2×122111312202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211131194 and 12211131203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305278261 + ... + 305278300.

It is an arithmetic number, because the mean of its divisors is an integer number (2136947967).

Almost surely, 212211131220 is an apocalyptic number.

12211131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211131220 is an abundant number, since it is smaller than the sum of its proper divisors (13432244384).

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

12211131220 is a wasteful number, since it uses less digits than its factorization.

12211131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610556570 (or 610556568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12211131220 its reverse (2213111221), we get a palindrome (14424242441).

The spelling of 12211131220 in words is "twelve billion, two hundred eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 610556561 1221113122 2442226244 3052782805 6105565610 12211131220