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12130441224 = 23311236133259
BaseRepresentation
bin10110100110000011…
…11101100000001000
31011022101120021001220
423103001331200020
5144320343104344
65323405242040
7606414022566
oct132301754010
934271507056
1012130441224
115165355040
122426563320
1311b41a6095
14831094a36
154aee39c19
hex2d307d808

12130441224 has 128 divisors (see below), whose sum is σ = 34588339200. Its totient is φ = 3509256960.

The previous prime is 12130441217. The next prime is 12130441327. The reversal of 12130441224 is 42214403121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12130441194 and 12130441203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3720507 + ... + 3723765.

It is an arithmetic number, because the mean of its divisors is an integer number (270221400).

Almost surely, 212130441224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294169600).

12130441224 is an abundant number, since it is smaller than the sum of its proper divisors (22457897976).

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

12130441224 is a wasteful number, since it uses less digits than its factorization.

12130441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12130441224 its reverse (42214403121), we get a palindrome (54344844345).

It can be divided in two parts, 12130 and 441224, that added together give a palindrome (453354).

The spelling of 12130441224 in words is "twelve billion, one hundred thirty million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 613 759 1012 1226 1518 1839 2024 2452 3036 3259 3678 4904 6072 6518 6743 7356 9777 13036 13486 14099 14712 19554 20229 26072 26972 28198 35849 39108 40458 42297 53944 56396 71698 74957 78216 80916 84594 107547 112792 143396 149914 155089 161832 169188 215094 224871 286792 299828 310178 338376 430188 449742 465267 599656 620356 824527 860376 899484 930534 1240712 1649054 1798968 1861068 1997767 2473581 3298108 3722136 3995534 4947162 5993301 6596216 7991068 9894324 11986602 15982136 19788648 21975437 23973204 43950874 45948641 47946408 65926311 87901748 91897282 131852622 137845923 175803496 183794564 263705244 275691846 367589128 505435051 527410488 551383692 1010870102 1102767384 1516305153 2021740204 3032610306 4043480408 6065220612 12130441224