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12113001220 = 2251928771913
BaseRepresentation
bin10110100011111110…
…11011101100000100
31011021011202012212211
423101333123230010
5144301412014340
65321543353204
7606112545235
oct132177335404
934234665784
1012113001220
115156523111
122420752804
1311b06aac58
1482ca3508c
154ad6425ea
hex2d1fdbb04

12113001220 has 72 divisors (see below), whose sum is σ = 26891232984. Its totient is φ = 4582559232.

The previous prime is 12113001209. The next prime is 12113001223. The reversal of 12113001220 is 2210031121.

It can be written as a sum of positive squares in 4 ways, for example, as 5256830016 + 6856171204 = 72504^2 + 82802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12113001220.

It is not an unprimeable number, because it can be changed into a prime (12113001223) 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 23 ways as a sum of consecutive naturals, for example, 6330984 + ... + 6332896.

It is an arithmetic number, because the mean of its divisors is an integer number (373489347).

Almost surely, 212113001220 is an apocalyptic number.

12113001220 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 12113001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445616492).

12113001220 is an abundant number, since it is smaller than the sum of its proper divisors (14778231764).

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

12113001220 is a wasteful number, since it uses less digits than its factorization.

12113001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12113001220 its reverse (2210031121), we get a palindrome (14323032341).

The spelling of 12113001220 in words is "twelve billion, one hundred thirteen million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 877 1444 1754 1805 1913 3508 3610 3826 4385 7220 7652 8770 9565 16663 17540 19130 33326 36347 38260 66652 72694 83315 145388 166630 181735 316597 333260 363470 633194 690593 726940 1266388 1381186 1582985 1677701 2762372 3165970 3355402 3452965 6331940 6710804 6905930 8388505 13811860 16777010 31876319 33554020 63752638 127505276 159381595 318763190 605650061 637526380 1211300122 2422600244 3028250305 6056500610 12113001220