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12245005140 = 22351725911969
BaseRepresentation
bin10110110011101101…
…11111001101010100
31011121101010201012220
423121312333031110
5200034210131030
65343020542340
7612304553304
oct133166771524
934541121186
1012245005140
115213a93665
1224589b19b0
131201b48894
14842397604
154ba019a10
hex2d9dbf354

12245005140 has 144 divisors (see below), whose sum is σ = 37041883200. Its totient is φ = 3020914688.

The previous prime is 12245005117. The next prime is 12245005147. The reversal of 12245005140 is 4150054221.

It is a self number, because there is not a number n which added to its sum of digits gives 12245005140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245005147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017076 + ... + 1029044.

It is an arithmetic number, because the mean of its divisors is an integer number (257235300).

Almost surely, 212245005140 is an apocalyptic number.

12245005140 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 12245005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520941600).

12245005140 is an abundant number, since it is smaller than the sum of its proper divisors (24796878060).

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

12245005140 is a wasteful number, since it uses less digits than its factorization.

12245005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 12245005140 its reverse (4150054221), we get a palindrome (16395059361).

The spelling of 12245005140 in words is "twelve billion, two hundred forty-five million, five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 102 118 170 177 204 236 255 289 295 340 354 510 578 590 708 867 885 1003 1020 1156 1180 1445 1734 1770 2006 2890 3009 3468 3540 4012 4335 5015 5780 6018 8670 10030 11969 12036 15045 17051 17340 20060 23938 30090 34102 35907 47876 51153 59845 60180 68204 71814 85255 102306 119690 143628 170510 179535 203473 204612 239380 255765 341020 359070 406946 511530 610419 706171 718140 813892 1017365 1023060 1220838 1412342 2034730 2118513 2441676 2824684 3052095 3459041 3530855 4069460 4237026 6104190 6918082 7061710 8474052 10377123 10592565 12004907 12208380 13836164 14123420 17295205 20754246 21185130 24009814 34590410 36014721 41508492 42370260 48019628 51885615 60024535 69180820 72029442 103771230 120049070 144058884 180073605 204083419 207542460 240098140 360147210 408166838 612250257 720294420 816333676 1020417095 1224500514 2040834190 2449001028 3061251285 4081668380 6122502570 12245005140