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12240050320 = 24517591031481
BaseRepresentation
bin10110110011001000…
…00101100010010000
31011121000210222111001
423121210011202100
5200031423102240
65342322431344
7612214465621
oct133144054220
934530728431
1012240050320
115211209a73
122457202554
131200b02534
14841867a48
154b988b89a
hex2d9905890

12240050320 has 160 divisors (see below), whose sum is σ = 30961232640. Its totient is φ = 4482908160.

The previous prime is 12240050299. The next prime is 12240050377. The reversal of 12240050320 is 2305004221.

It is a super-2 number, since 2×122400503202 (a number of 21 digits) contains 22 as substring.

12240050320 is a modest number, since divided by 50320 gives 12240 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 8263980 + ... + 8265460.

It is an arithmetic number, because the mean of its divisors is an integer number (193507704).

Almost surely, 212240050320 is an apocalyptic number.

12240050320 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 12240050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480616320).

12240050320 is an abundant number, since it is smaller than the sum of its proper divisors (18721182320).

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

12240050320 is a wasteful number, since it uses less digits than its factorization.

12240050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 12240050320 its reverse (2305004221), we get a palindrome (14545054541).

The spelling of 12240050320 in words is "twelve billion, two hundred forty million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 103 118 136 170 206 236 272 295 340 412 472 515 590 680 824 944 1003 1030 1180 1360 1481 1648 1751 2006 2060 2360 2962 3502 4012 4120 4720 5015 5924 6077 7004 7405 8024 8240 8755 10030 11848 12154 14008 14810 16048 17510 20060 23696 24308 25177 28016 29620 30385 35020 40120 48616 50354 59240 60770 70040 80240 87379 97232 100708 103309 118480 121540 125885 140080 152543 174758 201416 206618 243080 251770 305086 349516 402832 413236 436895 486160 503540 516545 610172 699032 762715 826472 873790 1007080 1033090 1220344 1398064 1485443 1525430 1652944 1747580 2014160 2066180 2440688 2593231 2970886 3050860 3495160 4132360 5186462 5941772 6101720 6990320 7427215 8264720 9000037 10372924 11883544 12203440 12966155 14854430 18000074 20745848 23767088 25932310 29708860 36000148 41491696 45000185 51864620 59417720 72000296 90000370 103729240 118835440 144000592 153000629 180000740 207458480 306001258 360001480 612002516 720002960 765003145 1224005032 1530006290 2448010064 3060012580 6120025160 12240050320