Search a number
-
+
12220101220 = 225611005061
BaseRepresentation
bin10110110000101111…
…11111001001100100
31011112122021110110111
423120113333021210
5200011321214340
65340331102404
7611553101155
oct133027771144
934478243414
1012220101220
115200a23a08
1224505a1a04
1311c9939332
1483cd5392c
154b7c4aaea
hex2d85ff264

12220101220 has 12 divisors (see below), whose sum is σ = 25662212604. Its totient is φ = 4888040480.

The previous prime is 12220101217. The next prime is 12220101221. The reversal of 12220101220 is 2210102221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5340394084 + 6879707136 = 73078^2 + 82944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12220101220.

It is not an unprimeable number, because it can be changed into a prime (12220101221) by changing a digit.

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, 305502511 + ... + 305502550.

It is an arithmetic number, because the mean of its divisors is an integer number (2138517717).

Almost surely, 212220101220 is an apocalyptic number.

12220101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220101220 is an abundant number, since it is smaller than the sum of its proper divisors (13442111384).

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

12220101220 is a wasteful number, since it uses less digits than its factorization.

12220101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611005070 (or 611005068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220101220 its reverse (2210102221), we get a palindrome (14430203441).

The spelling of 12220101220 in words is "twelve billion, two hundred twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 611005061 1222010122 2444020244 3055025305 6110050610 12220101220