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12322442660 = 22511233421571
BaseRepresentation
bin10110111100111100…
…11000110110100100
31011210202211221112012
423132132120312210
5200214021131120
65354424413352
7614235014543
oct133636306644
934722757465
1012322442660
115253774610
12247a917258
131214bbc7b8
1484c79415a
154c1c141c5
hex2de798da4

12322442660 has 96 divisors (see below), whose sum is σ = 28467863424. Its totient is φ = 4443264000.

The previous prime is 12322442623. The next prime is 12322442663. The reversal of 12322442660 is 6624422321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12322442663) 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 31 ways as a sum of consecutive naturals, for example, 21580175 + ... + 21580745.

It is an arithmetic number, because the mean of its divisors is an integer number (296540244).

Almost surely, 212322442660 is an apocalyptic number.

12322442660 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 12322442660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233931712).

12322442660 is an abundant number, since it is smaller than the sum of its proper divisors (16145420764).

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

12322442660 is a wasteful number, since it uses less digits than its factorization.

12322442660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12322442660 its reverse (6624422321), we get a palindrome (18946864981).

The spelling of 12322442660 in words is "twelve billion, three hundred twenty-two million, four hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 421 466 571 842 932 1142 1165 1684 2105 2284 2330 2563 2855 4210 4631 4660 5126 5710 6281 8420 9262 10252 11420 12562 12815 18524 23155 25124 25630 31405 46310 51260 62810 92620 98093 125620 133043 196186 240391 266086 392372 480782 490465 532172 665215 961564 980930 1079023 1201955 1330430 1463473 1961860 2158046 2403910 2644301 2660860 2926946 4316092 4807820 5288602 5395115 5853892 7317365 10577204 10790230 13221505 14634730 21580460 26443010 29269460 52886020 56011103 112022206 224044412 280055515 560111030 616122133 1120222060 1232244266 2464488532 3080610665 6161221330 12322442660