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12130223220 = 22325101667229
BaseRepresentation
bin10110100110000010…
…01000010001110100
31011022101011012000200
423103001020101310
5144320314120340
65323400440500
7606412124163
oct132301102164
934271135020
1012130223220
115165216275
122426479130
1311b412aa9b
148310393da
154aede5330
hex2d3048474

12130223220 has 72 divisors (see below), whose sum is σ = 37159373160. Its totient is φ = 3202694400.

The previous prime is 12130223173. The next prime is 12130223297. The reversal of 12130223220 is 2232203121.

12130223220 is a `hidden beast` number, since 121 + 302 + 23 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6442951824 + 5687271396 = 80268^2 + 75414^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12130223193 and 12130223202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315435 + ... + 351794.

It is an arithmetic number, because the mean of its divisors is an integer number (516102405).

Almost surely, 212130223220 is an apocalyptic number.

12130223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130223220 is an abundant number, since it is smaller than the sum of its proper divisors (25029149940).

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

12130223220 is a wasteful number, since it uses less digits than its factorization.

12130223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667345 (or 667340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12130223220 its reverse (2232203121), we get a palindrome (14362426341).

The spelling of 12130223220 in words is "twelve billion, one hundred thirty million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 667229 1334458 2001687 2668916 3336145 4003374 6005061 6672290 8006748 10008435 12010122 13344580 20016870 24020244 30025305 40033740 60050610 67390129 120101220 134780258 202170387 269560516 336950645 404340774 606511161 673901290 808681548 1010851935 1213022322 1347802580 2021703870 2426044644 3032555805 4043407740 6065111610 12130223220