Search a number
-
+
12012220100 = 2252313383777
BaseRepresentation
bin10110010111111101…
…11110111011000100
31011000011010000011202
423023332332323010
5144100112020400
65303543322032
7603450120566
oct131376767304
934004100152
1012012220100
115104648831
1223b2a50318
131195852a5a
1481d4bd336
154a48864d5
hex2cbfbeec4

12012220100 has 36 divisors (see below), whose sum is σ = 26149865364. Its totient is φ = 4789524480.

The previous prime is 12012220093. The next prime is 12012220127. The reversal of 12012220100 is 102221021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1637982784 + 10374237316 = 40472^2 + 101854^2 .

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, 160589 + ... + 223188.

It is an arithmetic number, because the mean of its divisors is an integer number (726385149).

Almost surely, 212012220100 is an apocalyptic number.

12012220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012220100 is an abundant number, since it is smaller than the sum of its proper divisors (14137645264).

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

12012220100 is a wasteful number, since it uses less digits than its factorization.

12012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384104 (or 384097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12012220100 its reverse (102221021), we get a palindrome (12114441121).

The spelling of 12012220100 in words is "twelve billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 313 626 1252 1565 3130 6260 7825 15650 31300 383777 767554 1535108 1918885 3837770 7675540 9594425 19188850 38377700 120122201 240244402 480488804 600611005 1201222010 2402444020 3003055025 6006110050 12012220100