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12013123220 = 2257222735393
BaseRepresentation
bin10110011000000100…
…11011011010010100
31011000012210220000122
423030002123122110
5144100324420340
65304014531112
7603460601600
oct131402333224
934005726018
1012013123220
11510510530a
1223b3206a98
131195aaab47
1481d676500
154a49b3db5
hex2cc09b694

12013123220 has 72 divisors (see below), whose sum is σ = 29364698664. Its totient is φ = 4116209664.

The previous prime is 12013123211. The next prime is 12013123351. The reversal of 12013123220 is 2232131021.

It can be written as a sum of positive squares in 4 ways, for example, as 6534458896 + 5478664324 = 80836^2 + 74018^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2224844 + ... + 2230236.

It is an arithmetic number, because the mean of its divisors is an integer number (407843037).

Almost surely, 212013123220 is an apocalyptic number.

12013123220 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 12013123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682349332).

12013123220 is an abundant number, since it is smaller than the sum of its proper divisors (17351575444).

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

12013123220 is a wasteful number, since it uses less digits than its factorization.

12013123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12013123220 its reverse (2232131021), we get a palindrome (14245254241).

The spelling of 12013123220 in words is "twelve billion, thirteen million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2273 4546 5393 9092 10786 11365 15911 21572 22730 26965 31822 37751 45460 53930 63644 75502 79555 107860 111377 151004 159110 188755 222754 264257 318220 377510 445508 528514 556885 755020 1057028 1113770 1321285 2227540 2642570 5285140 12258289 24516578 49033156 61291445 85808023 122582890 171616046 245165780 343232092 429040115 600656161 858080230 1201312322 1716160460 2402624644 3003280805 6006561610 12013123220